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Finding the Third Proportional to 546,096 and 826,776

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Solution

The third proportional to 546,096 and 826,776 is: 1,251,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,096 : 826,776 = 826,776 : x
  2. Step 2: Convert to fraction form
    546,096/826,776 = 826,776/x
  3. Step 3: Cross multiply
    546,096x = 826,776 × 826,776
  4. Step 4: Simplify right side
    546,096x = 683,558,554,176
  5. Step 5: Solve for x
    x = 683,558,554,176/546,096
  6. Step 6: Final answer
    x = 1,251,718.66

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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.