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Finding the Third Proportional to 546,209.16 and 826,903.69

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Solution

The third proportional to 546,209.16 and 826,903.69 is: 1,251,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,209.16 : 826,903.69 = 826,903.69 : x
  2. Step 2: Convert to fraction form
    546,209.16/826,903.69 = 826,903.69/x
  3. Step 3: Cross multiply
    546,209.16x = 826,903.69 × 826,903.69
  4. Step 4: Simplify right side
    546,209.16x = 683,769,708,401.10
  5. Step 5: Solve for x
    x = 683,769,708,401.10/546,209.16
  6. Step 6: Final answer
    x = 1,251,845.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.