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Finding the Third Proportional to 674,276 and 1,535,621

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Solution

The third proportional to 674,276 and 1,535,621 is: 3,497,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,276 : 1,535,621 = 1,535,621 : x
  2. Step 2: Convert to fraction form
    674,276/1,535,621 = 1,535,621/x
  3. Step 3: Cross multiply
    674,276x = 1,535,621 × 1,535,621
  4. Step 4: Simplify right side
    674,276x = 2,358,131,855,641
  5. Step 5: Solve for x
    x = 2,358,131,855,641/674,276
  6. Step 6: Final answer
    x = 3,497,279.83

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.