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Finding the Third Proportional to 613,654 and 1,312,604

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Solution

The third proportional to 613,654 and 1,312,604 is: 2,807,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,654 : 1,312,604 = 1,312,604 : x
  2. Step 2: Convert to fraction form
    613,654/1,312,604 = 1,312,604/x
  3. Step 3: Cross multiply
    613,654x = 1,312,604 × 1,312,604
  4. Step 4: Simplify right side
    613,654x = 1,722,929,260,816
  5. Step 5: Solve for x
    x = 1,722,929,260,816/613,654
  6. Step 6: Final answer
    x = 2,807,655.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.