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Finding the Third Proportional to 784,092 and 1,700,952

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Solution

The third proportional to 784,092 and 1,700,952 is: 3,689,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,092 : 1,700,952 = 1,700,952 : x
  2. Step 2: Convert to fraction form
    784,092/1,700,952 = 1,700,952/x
  3. Step 3: Cross multiply
    784,092x = 1,700,952 × 1,700,952
  4. Step 4: Simplify right side
    784,092x = 2,893,237,706,304
  5. Step 5: Solve for x
    x = 2,893,237,706,304/784,092
  6. Step 6: Final answer
    x = 3,689,921.22

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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.