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Finding the Third Proportional to 785,092 and 1,702,952

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Solution

The third proportional to 785,092 and 1,702,952 is: 3,693,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,092 : 1,702,952 = 1,702,952 : x
  2. Step 2: Convert to fraction form
    785,092/1,702,952 = 1,702,952/x
  3. Step 3: Cross multiply
    785,092x = 1,702,952 × 1,702,952
  4. Step 4: Simplify right side
    785,092x = 2,900,045,514,304
  5. Step 5: Solve for x
    x = 2,900,045,514,304/785,092
  6. Step 6: Final answer
    x = 3,693,892.58

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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.