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Finding the Third Proportional to 322,154,784 and 698,057,280

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Solution

The third proportional to 322,154,784 and 698,057,280 is: 1,512,577,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,154,784 : 698,057,280 = 698,057,280 : x
  2. Step 2: Convert to fraction form
    322,154,784/698,057,280 = 698,057,280/x
  3. Step 3: Cross multiply
    322,154,784x = 698,057,280 × 698,057,280
  4. Step 4: Simplify right side
    322,154,784x = 487,283,966,160,998,400
  5. Step 5: Solve for x
    x = 487,283,966,160,998,400/322,154,784
  6. Step 6: Final answer
    x = 1,512,577,153.47

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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.