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Finding the Third Proportional to 524,064,675 and 1,121,747,982

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Solution

The third proportional to 524,064,675 and 1,121,747,982 is: 2,401,074,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,064,675 : 1,121,747,982 = 1,121,747,982 : x
  2. Step 2: Convert to fraction form
    524,064,675/1,121,747,982 = 1,121,747,982/x
  3. Step 3: Cross multiply
    524,064,675x = 1,121,747,982 × 1,121,747,982
  4. Step 4: Simplify right side
    524,064,675x = 1,258,318,535,121,072,384
  5. Step 5: Solve for x
    x = 1,258,318,535,121,072,384/524,064,675
  6. Step 6: Final answer
    x = 2,401,074,896.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.