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Finding the Third Proportional to 752,001 and 1,164,987

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Solution

The third proportional to 752,001 and 1,164,987 is: 1,804,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,001 : 1,164,987 = 1,164,987 : x
  2. Step 2: Convert to fraction form
    752,001/1,164,987 = 1,164,987/x
  3. Step 3: Cross multiply
    752,001x = 1,164,987 × 1,164,987
  4. Step 4: Simplify right side
    752,001x = 1,357,194,710,169
  5. Step 5: Solve for x
    x = 1,357,194,710,169/752,001
  6. Step 6: Final answer
    x = 1,804,777.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.