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Finding the Third Proportional to 758,342 and 1,142,319

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Solution

The third proportional to 758,342 and 1,142,319 is: 1,720,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,342 : 1,142,319 = 1,142,319 : x
  2. Step 2: Convert to fraction form
    758,342/1,142,319 = 1,142,319/x
  3. Step 3: Cross multiply
    758,342x = 1,142,319 × 1,142,319
  4. Step 4: Simplify right side
    758,342x = 1,304,892,697,761
  5. Step 5: Solve for x
    x = 1,304,892,697,761/758,342
  6. Step 6: Final answer
    x = 1,720,717.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.