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Finding the Third Proportional to 687,894 and 934,142.50

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Solution

The third proportional to 687,894 and 934,142.50 is: 1,268,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,894 : 934,142.50 = 934,142.50 : x
  2. Step 2: Convert to fraction form
    687,894/934,142.50 = 934,142.50/x
  3. Step 3: Cross multiply
    687,894x = 934,142.50 × 934,142.50
  4. Step 4: Simplify right side
    687,894x = 872,622,210,306.25
  5. Step 5: Solve for x
    x = 872,622,210,306.25/687,894
  6. Step 6: Final answer
    x = 1,268,541.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.