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Finding the Third Proportional to 676,497 and 1,458,762

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Solution

The third proportional to 676,497 and 1,458,762 is: 3,145,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,497 : 1,458,762 = 1,458,762 : x
  2. Step 2: Convert to fraction form
    676,497/1,458,762 = 1,458,762/x
  3. Step 3: Cross multiply
    676,497x = 1,458,762 × 1,458,762
  4. Step 4: Simplify right side
    676,497x = 2,127,986,572,644
  5. Step 5: Solve for x
    x = 2,127,986,572,644/676,497
  6. Step 6: Final answer
    x = 3,145,596.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.