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Finding the Third Proportional to 817,591 and 1,254,987

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Solution

The third proportional to 817,591 and 1,254,987 is: 1,926,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,591 : 1,254,987 = 1,254,987 : x
  2. Step 2: Convert to fraction form
    817,591/1,254,987 = 1,254,987/x
  3. Step 3: Cross multiply
    817,591x = 1,254,987 × 1,254,987
  4. Step 4: Simplify right side
    817,591x = 1,574,992,370,169
  5. Step 5: Solve for x
    x = 1,574,992,370,169/817,591
  6. Step 6: Final answer
    x = 1,926,381.74

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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.