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Finding the Third Proportional to 1,019,574,724 and 1,574,401,804.50

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Solution

The third proportional to 1,019,574,724 and 1,574,401,804.50 is: 2,431,151,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,724 : 1,574,401,804.50 = 1,574,401,804.50 : x
  2. Step 2: Convert to fraction form
    1,019,574,724/1,574,401,804.50 = 1,574,401,804.50/x
  3. Step 3: Cross multiply
    1,019,574,724x = 1,574,401,804.50 × 1,574,401,804.50
  4. Step 4: Simplify right side
    1,019,574,724x = 2,478,741,042,012,856,320
  5. Step 5: Solve for x
    x = 2,478,741,042,012,856,320/1,019,574,724
  6. Step 6: Final answer
    x = 2,431,151,914.29

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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.