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Finding the Third Proportional to 814,640.63 and 1,139,459.06

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Solution

The third proportional to 814,640.63 and 1,139,459.06 is: 1,593,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,640.63 : 1,139,459.06 = 1,139,459.06 : x
  2. Step 2: Convert to fraction form
    814,640.63/1,139,459.06 = 1,139,459.06/x
  3. Step 3: Cross multiply
    814,640.63x = 1,139,459.06 × 1,139,459.06
  4. Step 4: Simplify right side
    814,640.63x = 1,298,366,955,113.38
  5. Step 5: Solve for x
    x = 1,298,366,955,113.38/814,640.63
  6. Step 6: Final answer
    x = 1,593,791.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.