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Finding the Third Proportional to 1,019,574,682 and 1,574,401,757.50

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Solution

The third proportional to 1,019,574,682 and 1,574,401,757.50 is: 2,431,151,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,682 : 1,574,401,757.50 = 1,574,401,757.50 : x
  2. Step 2: Convert to fraction form
    1,019,574,682/1,574,401,757.50 = 1,574,401,757.50/x
  3. Step 3: Cross multiply
    1,019,574,682x = 1,574,401,757.50 × 1,574,401,757.50
  4. Step 4: Simplify right side
    1,019,574,682x = 2,478,740,894,019,088,896
  5. Step 5: Solve for x
    x = 2,478,740,894,019,088,896/1,019,574,682
  6. Step 6: Final answer
    x = 2,431,151,869.28

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