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Finding the Third Proportional to 687,502.13 and 1,480,322.25

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Solution

The third proportional to 687,502.13 and 1,480,322.25 is: 3,187,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,502.13 : 1,480,322.25 = 1,480,322.25 : x
  2. Step 2: Convert to fraction form
    687,502.13/1,480,322.25 = 1,480,322.25/x
  3. Step 3: Cross multiply
    687,502.13x = 1,480,322.25 × 1,480,322.25
  4. Step 4: Simplify right side
    687,502.13x = 2,191,353,963,845.06
  5. Step 5: Solve for x
    x = 2,191,353,963,845.06/687,502.13
  6. Step 6: Final answer
    x = 3,187,414.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.