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Finding the Third Proportional to 686,768.63 and 1,010,292.19

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Solution

The third proportional to 686,768.63 and 1,010,292.19 is: 1,486,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,768.63 : 1,010,292.19 = 1,010,292.19 : x
  2. Step 2: Convert to fraction form
    686,768.63/1,010,292.19 = 1,010,292.19/x
  3. Step 3: Cross multiply
    686,768.63x = 1,010,292.19 × 1,010,292.19
  4. Step 4: Simplify right side
    686,768.63x = 1,020,690,304,123.54
  5. Step 5: Solve for x
    x = 1,020,690,304,123.54/686,768.63
  6. Step 6: Final answer
    x = 1,486,221.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.