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Finding the Third Proportional to 454,266,434 and 986,061,505

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Solution

The third proportional to 454,266,434 and 986,061,505 is: 2,140,411,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,266,434 : 986,061,505 = 986,061,505 : x
  2. Step 2: Convert to fraction form
    454,266,434/986,061,505 = 986,061,505/x
  3. Step 3: Cross multiply
    454,266,434x = 986,061,505 × 986,061,505
  4. Step 4: Simplify right side
    454,266,434x = 972,317,291,642,865,024
  5. Step 5: Solve for x
    x = 972,317,291,642,865,024/454,266,434
  6. Step 6: Final answer
    x = 2,140,411,923.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.