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Finding the Third Proportional to 674,501 and 1,036,771

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Solution

The third proportional to 674,501 and 1,036,771 is: 1,593,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,501 : 1,036,771 = 1,036,771 : x
  2. Step 2: Convert to fraction form
    674,501/1,036,771 = 1,036,771/x
  3. Step 3: Cross multiply
    674,501x = 1,036,771 × 1,036,771
  4. Step 4: Simplify right side
    674,501x = 1,074,894,106,441
  5. Step 5: Solve for x
    x = 1,074,894,106,441/674,501
  6. Step 6: Final answer
    x = 1,593,613.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.