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Finding the Third Proportional to 932,399 and 1,439,787

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Solution

The third proportional to 932,399 and 1,439,787 is: 2,223,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,399 : 1,439,787 = 1,439,787 : x
  2. Step 2: Convert to fraction form
    932,399/1,439,787 = 1,439,787/x
  3. Step 3: Cross multiply
    932,399x = 1,439,787 × 1,439,787
  4. Step 4: Simplify right side
    932,399x = 2,072,986,605,369
  5. Step 5: Solve for x
    x = 2,072,986,605,369/932,399
  6. Step 6: Final answer
    x = 2,223,282.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.