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Finding the Third Proportional to 727,930.13 and 1,576,346.06

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Solution

The third proportional to 727,930.13 and 1,576,346.06 is: 3,413,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,930.13 : 1,576,346.06 = 1,576,346.06 : x
  2. Step 2: Convert to fraction form
    727,930.13/1,576,346.06 = 1,576,346.06/x
  3. Step 3: Cross multiply
    727,930.13x = 1,576,346.06 × 1,576,346.06
  4. Step 4: Simplify right side
    727,930.13x = 2,484,866,908,759.25
  5. Step 5: Solve for x
    x = 2,484,866,908,759.25/727,930.13
  6. Step 6: Final answer
    x = 3,413,606.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.