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Finding the Third Proportional to 674,840 and 1,034,809

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Solution

The third proportional to 674,840 and 1,034,809 is: 1,586,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,840 : 1,034,809 = 1,034,809 : x
  2. Step 2: Convert to fraction form
    674,840/1,034,809 = 1,034,809/x
  3. Step 3: Cross multiply
    674,840x = 1,034,809 × 1,034,809
  4. Step 4: Simplify right side
    674,840x = 1,070,829,666,481
  5. Step 5: Solve for x
    x = 1,070,829,666,481/674,840
  6. Step 6: Final answer
    x = 1,586,790.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.