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Finding the Third Proportional to 1,376,786 and 2,952,711

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Solution

The third proportional to 1,376,786 and 2,952,711 is: 6,332,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,786 : 2,952,711 = 2,952,711 : x
  2. Step 2: Convert to fraction form
    1,376,786/2,952,711 = 2,952,711/x
  3. Step 3: Cross multiply
    1,376,786x = 2,952,711 × 2,952,711
  4. Step 4: Simplify right side
    1,376,786x = 8,718,502,249,521
  5. Step 5: Solve for x
    x = 8,718,502,249,521/1,376,786
  6. Step 6: Final answer
    x = 6,332,503.56

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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.