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Finding the Third Proportional to 546,004 and 826,643

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Solution

The third proportional to 546,004 and 826,643 is: 1,251,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,004 : 826,643 = 826,643 : x
  2. Step 2: Convert to fraction form
    546,004/826,643 = 826,643/x
  3. Step 3: Cross multiply
    546,004x = 826,643 × 826,643
  4. Step 4: Simplify right side
    546,004x = 683,338,649,449
  5. Step 5: Solve for x
    x = 683,338,649,449/546,004
  6. Step 6: Final answer
    x = 1,251,526.82

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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.