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Finding the Third Proportional to 674,900 and 1,425,688

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Solution

The third proportional to 674,900 and 1,425,688 is: 3,011,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,900 : 1,425,688 = 1,425,688 : x
  2. Step 2: Convert to fraction form
    674,900/1,425,688 = 1,425,688/x
  3. Step 3: Cross multiply
    674,900x = 1,425,688 × 1,425,688
  4. Step 4: Simplify right side
    674,900x = 2,032,586,273,344
  5. Step 5: Solve for x
    x = 2,032,586,273,344/674,900
  6. Step 6: Final answer
    x = 3,011,685.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.