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Finding the Third Proportional to 653,432 and 1,406,983

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Solution

The third proportional to 653,432 and 1,406,983 is: 3,029,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,432 : 1,406,983 = 1,406,983 : x
  2. Step 2: Convert to fraction form
    653,432/1,406,983 = 1,406,983/x
  3. Step 3: Cross multiply
    653,432x = 1,406,983 × 1,406,983
  4. Step 4: Simplify right side
    653,432x = 1,979,601,162,289
  5. Step 5: Solve for x
    x = 1,979,601,162,289/653,432
  6. Step 6: Final answer
    x = 3,029,544.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.