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Finding the Third Proportional to 686,888 and 1,475,344

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Solution

The third proportional to 686,888 and 1,475,344 is: 3,168,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,888 : 1,475,344 = 1,475,344 : x
  2. Step 2: Convert to fraction form
    686,888/1,475,344 = 1,475,344/x
  3. Step 3: Cross multiply
    686,888x = 1,475,344 × 1,475,344
  4. Step 4: Simplify right side
    686,888x = 2,176,639,918,336
  5. Step 5: Solve for x
    x = 2,176,639,918,336/686,888
  6. Step 6: Final answer
    x = 3,168,842.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.