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Finding the Third Proportional to 617,877,378 and 932,561,984

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Solution

The third proportional to 617,877,378 and 932,561,984 is: 1,407,515,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,877,378 : 932,561,984 = 932,561,984 : x
  2. Step 2: Convert to fraction form
    617,877,378/932,561,984 = 932,561,984/x
  3. Step 3: Cross multiply
    617,877,378x = 932,561,984 × 932,561,984
  4. Step 4: Simplify right side
    617,877,378x = 869,671,854,002,016,256
  5. Step 5: Solve for x
    x = 869,671,854,002,016,256/617,877,378
  6. Step 6: Final answer
    x = 1,407,515,285.34

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