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Finding the Third Proportional to 546,078 and 826,749

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Solution

The third proportional to 546,078 and 826,749 is: 1,251,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,078 : 826,749 = 826,749 : x
  2. Step 2: Convert to fraction form
    546,078/826,749 = 826,749/x
  3. Step 3: Cross multiply
    546,078x = 826,749 × 826,749
  4. Step 4: Simplify right side
    546,078x = 683,513,909,001
  5. Step 5: Solve for x
    x = 683,513,909,001/546,078
  6. Step 6: Final answer
    x = 1,251,678.17

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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.