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Finding the Third Proportional to 693,940 and 1,513,628

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Solution

The third proportional to 693,940 and 1,513,628 is: 3,301,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,940 : 1,513,628 = 1,513,628 : x
  2. Step 2: Convert to fraction form
    693,940/1,513,628 = 1,513,628/x
  3. Step 3: Cross multiply
    693,940x = 1,513,628 × 1,513,628
  4. Step 4: Simplify right side
    693,940x = 2,291,069,722,384
  5. Step 5: Solve for x
    x = 2,291,069,722,384/693,940
  6. Step 6: Final answer
    x = 3,301,538.64

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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.