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Finding the Third Proportional to 931,158 and 1,423,811.25

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Solution

The third proportional to 931,158 and 1,423,811.25 is: 2,177,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,158 : 1,423,811.25 = 1,423,811.25 : x
  2. Step 2: Convert to fraction form
    931,158/1,423,811.25 = 1,423,811.25/x
  3. Step 3: Cross multiply
    931,158x = 1,423,811.25 × 1,423,811.25
  4. Step 4: Simplify right side
    931,158x = 2,027,238,475,626.56
  5. Step 5: Solve for x
    x = 2,027,238,475,626.56/931,158
  6. Step 6: Final answer
    x = 2,177,115.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.