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Finding the Third Proportional to 686,882 and 1,475,332

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Solution

The third proportional to 686,882 and 1,475,332 is: 3,168,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,882 : 1,475,332 = 1,475,332 : x
  2. Step 2: Convert to fraction form
    686,882/1,475,332 = 1,475,332/x
  3. Step 3: Cross multiply
    686,882x = 1,475,332 × 1,475,332
  4. Step 4: Simplify right side
    686,882x = 2,176,604,510,224
  5. Step 5: Solve for x
    x = 2,176,604,510,224/686,882
  6. Step 6: Final answer
    x = 3,168,818.68

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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.