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Finding the Third Proportional to 693,802 and 1,513,344

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Solution

The third proportional to 693,802 and 1,513,344 is: 3,300,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,802 : 1,513,344 = 1,513,344 : x
  2. Step 2: Convert to fraction form
    693,802/1,513,344 = 1,513,344/x
  3. Step 3: Cross multiply
    693,802x = 1,513,344 × 1,513,344
  4. Step 4: Simplify right side
    693,802x = 2,290,210,062,336
  5. Step 5: Solve for x
    x = 2,290,210,062,336/693,802
  6. Step 6: Final answer
    x = 3,300,956.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.