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Finding the Third Proportional to 807,184 and 1,216,920

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Solution

The third proportional to 807,184 and 1,216,920 is: 1,834,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,184 : 1,216,920 = 1,216,920 : x
  2. Step 2: Convert to fraction form
    807,184/1,216,920 = 1,216,920/x
  3. Step 3: Cross multiply
    807,184x = 1,216,920 × 1,216,920
  4. Step 4: Simplify right side
    807,184x = 1,480,894,286,400
  5. Step 5: Solve for x
    x = 1,480,894,286,400/807,184
  6. Step 6: Final answer
    x = 1,834,642.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.