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Finding the Third Proportional to 1,031,428.69 and 1,400,765.91

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Solution

The third proportional to 1,031,428.69 and 1,400,765.91 is: 1,902,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,428.69 : 1,400,765.91 = 1,400,765.91 : x
  2. Step 2: Convert to fraction form
    1,031,428.69/1,400,765.91 = 1,400,765.91/x
  3. Step 3: Cross multiply
    1,031,428.69x = 1,400,765.91 × 1,400,765.91
  4. Step 4: Simplify right side
    1,031,428.69x = 1,962,145,124,112.38
  5. Step 5: Solve for x
    x = 1,962,145,124,112.38/1,031,428.69
  6. Step 6: Final answer
    x = 1,902,356.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.