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Finding the Third Proportional to 932,565 and 1,482,924

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Solution

The third proportional to 932,565 and 1,482,924 is: 2,358,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,565 : 1,482,924 = 1,482,924 : x
  2. Step 2: Convert to fraction form
    932,565/1,482,924 = 1,482,924/x
  3. Step 3: Cross multiply
    932,565x = 1,482,924 × 1,482,924
  4. Step 4: Simplify right side
    932,565x = 2,199,063,589,776
  5. Step 5: Solve for x
    x = 2,199,063,589,776/932,565
  6. Step 6: Final answer
    x = 2,358,080.77

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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.