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Finding the Third Proportional to 474,298,304 and 1,027,758,688

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Solution

The third proportional to 474,298,304 and 1,027,758,688 is: 2,227,053,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,298,304 : 1,027,758,688 = 1,027,758,688 : x
  2. Step 2: Convert to fraction form
    474,298,304/1,027,758,688 = 1,027,758,688/x
  3. Step 3: Cross multiply
    474,298,304x = 1,027,758,688 × 1,027,758,688
  4. Step 4: Simplify right side
    474,298,304x = 1,056,287,920,759,481,344
  5. Step 5: Solve for x
    x = 1,056,287,920,759,481,344/474,298,304
  6. Step 6: Final answer
    x = 2,227,053,969.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.