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Finding the Third Proportional to 617,878,314 and 932,563,395

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Solution

The third proportional to 617,878,314 and 932,563,395 is: 1,407,517,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,878,314 : 932,563,395 = 932,563,395 : x
  2. Step 2: Convert to fraction form
    617,878,314/932,563,395 = 932,563,395/x
  3. Step 3: Cross multiply
    617,878,314x = 932,563,395 × 932,563,395
  4. Step 4: Simplify right side
    617,878,314x = 869,674,485,693,926,016
  5. Step 5: Solve for x
    x = 869,674,485,693,926,016/617,878,314
  6. Step 6: Final answer
    x = 1,407,517,412.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.