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Finding the Third Proportional to 783,432 and 1,172,178

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Solution

The third proportional to 783,432 and 1,172,178 is: 1,753,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,432 : 1,172,178 = 1,172,178 : x
  2. Step 2: Convert to fraction form
    783,432/1,172,178 = 1,172,178/x
  3. Step 3: Cross multiply
    783,432x = 1,172,178 × 1,172,178
  4. Step 4: Simplify right side
    783,432x = 1,374,001,263,684
  5. Step 5: Solve for x
    x = 1,374,001,263,684/783,432
  6. Step 6: Final answer
    x = 1,753,823.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.