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Finding the Third Proportional to 932,567 and 1,482,920

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Solution

The third proportional to 932,567 and 1,482,920 is: 2,358,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,567 : 1,482,920 = 1,482,920 : x
  2. Step 2: Convert to fraction form
    932,567/1,482,920 = 1,482,920/x
  3. Step 3: Cross multiply
    932,567x = 1,482,920 × 1,482,920
  4. Step 4: Simplify right side
    932,567x = 2,199,051,726,400
  5. Step 5: Solve for x
    x = 2,199,051,726,400/932,567
  6. Step 6: Final answer
    x = 2,358,062.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.