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Finding the Third Proportional to 784,537 and 1,676,176

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Solution

The third proportional to 784,537 and 1,676,176 is: 3,581,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,537 : 1,676,176 = 1,676,176 : x
  2. Step 2: Convert to fraction form
    784,537/1,676,176 = 1,676,176/x
  3. Step 3: Cross multiply
    784,537x = 1,676,176 × 1,676,176
  4. Step 4: Simplify right side
    784,537x = 2,809,565,982,976
  5. Step 5: Solve for x
    x = 2,809,565,982,976/784,537
  6. Step 6: Final answer
    x = 3,581,177.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.