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Finding the Third Proportional to 930,012.75 and 1,316,332.69

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Solution

The third proportional to 930,012.75 and 1,316,332.69 is: 1,863,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,012.75 : 1,316,332.69 = 1,316,332.69 : x
  2. Step 2: Convert to fraction form
    930,012.75/1,316,332.69 = 1,316,332.69/x
  3. Step 3: Cross multiply
    930,012.75x = 1,316,332.69 × 1,316,332.69
  4. Step 4: Simplify right side
    930,012.75x = 1,732,731,744,180.97
  5. Step 5: Solve for x
    x = 1,732,731,744,180.97/930,012.75
  6. Step 6: Final answer
    x = 1,863,126.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.