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Finding the Third Proportional to 687,412 and 1,039,963.50

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Solution

The third proportional to 687,412 and 1,039,963.50 is: 1,573,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,412 : 1,039,963.50 = 1,039,963.50 : x
  2. Step 2: Convert to fraction form
    687,412/1,039,963.50 = 1,039,963.50/x
  3. Step 3: Cross multiply
    687,412x = 1,039,963.50 × 1,039,963.50
  4. Step 4: Simplify right side
    687,412x = 1,081,524,081,332.25
  5. Step 5: Solve for x
    x = 1,081,524,081,332.25/687,412
  6. Step 6: Final answer
    x = 1,573,327.32

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Why These Related Problems?

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