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Finding the Third Proportional to 452,754,496 and 970,057,472

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Solution

The third proportional to 452,754,496 and 970,057,472 is: 2,078,414,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,754,496 : 970,057,472 = 970,057,472 : x
  2. Step 2: Convert to fraction form
    452,754,496/970,057,472 = 970,057,472/x
  3. Step 3: Cross multiply
    452,754,496x = 970,057,472 × 970,057,472
  4. Step 4: Simplify right side
    452,754,496x = 941,011,498,983,030,784
  5. Step 5: Solve for x
    x = 941,011,498,983,030,784/452,754,496
  6. Step 6: Final answer
    x = 2,078,414,476.93

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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.