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Finding the Third Proportional to 546,018 and 826,659

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Solution

The third proportional to 546,018 and 826,659 is: 1,251,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,018 : 826,659 = 826,659 : x
  2. Step 2: Convert to fraction form
    546,018/826,659 = 826,659/x
  3. Step 3: Cross multiply
    546,018x = 826,659 × 826,659
  4. Step 4: Simplify right side
    546,018x = 683,365,102,281
  5. Step 5: Solve for x
    x = 683,365,102,281/546,018
  6. Step 6: Final answer
    x = 1,251,543.18

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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.