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Finding the Third Proportional to 703,044 and 1,658,934

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Solution

The third proportional to 703,044 and 1,658,934 is: 3,914,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,044 : 1,658,934 = 1,658,934 : x
  2. Step 2: Convert to fraction form
    703,044/1,658,934 = 1,658,934/x
  3. Step 3: Cross multiply
    703,044x = 1,658,934 × 1,658,934
  4. Step 4: Simplify right side
    703,044x = 2,752,062,016,356
  5. Step 5: Solve for x
    x = 2,752,062,016,356/703,044
  6. Step 6: Final answer
    x = 3,914,494.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.