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Finding the Third Proportional to 686,365.88 and 1,043,542.13

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Solution

The third proportional to 686,365.88 and 1,043,542.13 is: 1,586,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,365.88 : 1,043,542.13 = 1,043,542.13 : x
  2. Step 2: Convert to fraction form
    686,365.88/1,043,542.13 = 1,043,542.13/x
  3. Step 3: Cross multiply
    686,365.88x = 1,043,542.13 × 1,043,542.13
  4. Step 4: Simplify right side
    686,365.88x = 1,088,980,166,649.52
  5. Step 5: Solve for x
    x = 1,088,980,166,649.52/686,365.88
  6. Step 6: Final answer
    x = 1,586,588.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.