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Finding the Third Proportional to 810,336 and 1,776,180

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Solution

The third proportional to 810,336 and 1,776,180 is: 3,893,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,336 : 1,776,180 = 1,776,180 : x
  2. Step 2: Convert to fraction form
    810,336/1,776,180 = 1,776,180/x
  3. Step 3: Cross multiply
    810,336x = 1,776,180 × 1,776,180
  4. Step 4: Simplify right side
    810,336x = 3,154,815,392,400
  5. Step 5: Solve for x
    x = 3,154,815,392,400/810,336
  6. Step 6: Final answer
    x = 3,893,218.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.