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Finding the Third Proportional to 546,454 and 814,065

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Solution

The third proportional to 546,454 and 814,065 is: 1,212,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,454 : 814,065 = 814,065 : x
  2. Step 2: Convert to fraction form
    546,454/814,065 = 814,065/x
  3. Step 3: Cross multiply
    546,454x = 814,065 × 814,065
  4. Step 4: Simplify right side
    546,454x = 662,701,824,225
  5. Step 5: Solve for x
    x = 662,701,824,225/546,454
  6. Step 6: Final answer
    x = 1,212,731.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.