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Finding the Third Proportional to 646,802 and 1,360,624

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Solution

The third proportional to 646,802 and 1,360,624 is: 2,862,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,802 : 1,360,624 = 1,360,624 : x
  2. Step 2: Convert to fraction form
    646,802/1,360,624 = 1,360,624/x
  3. Step 3: Cross multiply
    646,802x = 1,360,624 × 1,360,624
  4. Step 4: Simplify right side
    646,802x = 1,851,297,669,376
  5. Step 5: Solve for x
    x = 1,851,297,669,376/646,802
  6. Step 6: Final answer
    x = 2,862,232.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.