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Finding the Third Proportional to 1,019,574,620 and 1,574,401,544.50

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Solution

The third proportional to 1,019,574,620 and 1,574,401,544.50 is: 2,431,151,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,620 : 1,574,401,544.50 = 1,574,401,544.50 : x
  2. Step 2: Convert to fraction form
    1,019,574,620/1,574,401,544.50 = 1,574,401,544.50/x
  3. Step 3: Cross multiply
    1,019,574,620x = 1,574,401,544.50 × 1,574,401,544.50
  4. Step 4: Simplify right side
    1,019,574,620x = 2,478,740,223,323,985,408
  5. Step 5: Solve for x
    x = 2,478,740,223,323,985,408/1,019,574,620
  6. Step 6: Final answer
    x = 2,431,151,359.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.