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Finding the Third Proportional to 417,114,016 and 612,901,660

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Solution

The third proportional to 417,114,016 and 612,901,660 is: 900,589,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,114,016 : 612,901,660 = 612,901,660 : x
  2. Step 2: Convert to fraction form
    417,114,016/612,901,660 = 612,901,660/x
  3. Step 3: Cross multiply
    417,114,016x = 612,901,660 × 612,901,660
  4. Step 4: Simplify right side
    417,114,016x = 375,648,444,830,755,584
  5. Step 5: Solve for x
    x = 375,648,444,830,755,584/417,114,016
  6. Step 6: Final answer
    x = 900,589,360.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.