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Finding the Third Proportional to 677,882 and 1,473,808

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Solution

The third proportional to 677,882 and 1,473,808 is: 3,204,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,882 : 1,473,808 = 1,473,808 : x
  2. Step 2: Convert to fraction form
    677,882/1,473,808 = 1,473,808/x
  3. Step 3: Cross multiply
    677,882x = 1,473,808 × 1,473,808
  4. Step 4: Simplify right side
    677,882x = 2,172,110,020,864
  5. Step 5: Solve for x
    x = 2,172,110,020,864/677,882
  6. Step 6: Final answer
    x = 3,204,259.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.