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Finding the Third Proportional to 944,102 and 1,423,991

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Solution

The third proportional to 944,102 and 1,423,991 is: 2,147,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,102 : 1,423,991 = 1,423,991 : x
  2. Step 2: Convert to fraction form
    944,102/1,423,991 = 1,423,991/x
  3. Step 3: Cross multiply
    944,102x = 1,423,991 × 1,423,991
  4. Step 4: Simplify right side
    944,102x = 2,027,750,368,081
  5. Step 5: Solve for x
    x = 2,027,750,368,081/944,102
  6. Step 6: Final answer
    x = 2,147,808.57

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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.