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Finding the Third Proportional to 1,166,750 and 1,799,904

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Solution

The third proportional to 1,166,750 and 1,799,904 is: 2,776,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,750 : 1,799,904 = 1,799,904 : x
  2. Step 2: Convert to fraction form
    1,166,750/1,799,904 = 1,799,904/x
  3. Step 3: Cross multiply
    1,166,750x = 1,799,904 × 1,799,904
  4. Step 4: Simplify right side
    1,166,750x = 3,239,654,409,216
  5. Step 5: Solve for x
    x = 3,239,654,409,216/1,166,750
  6. Step 6: Final answer
    x = 2,776,648.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.