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Finding the Third Proportional to 817,214 and 1,260,285

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Solution

The third proportional to 817,214 and 1,260,285 is: 1,943,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,214 : 1,260,285 = 1,260,285 : x
  2. Step 2: Convert to fraction form
    817,214/1,260,285 = 1,260,285/x
  3. Step 3: Cross multiply
    817,214x = 1,260,285 × 1,260,285
  4. Step 4: Simplify right side
    817,214x = 1,588,318,281,225
  5. Step 5: Solve for x
    x = 1,588,318,281,225/817,214
  6. Step 6: Final answer
    x = 1,943,576.93

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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.