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Finding the Third Proportional to 985,926 and 1,587,315

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Solution

The third proportional to 985,926 and 1,587,315 is: 2,555,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,926 : 1,587,315 = 1,587,315 : x
  2. Step 2: Convert to fraction form
    985,926/1,587,315 = 1,587,315/x
  3. Step 3: Cross multiply
    985,926x = 1,587,315 × 1,587,315
  4. Step 4: Simplify right side
    985,926x = 2,519,568,909,225
  5. Step 5: Solve for x
    x = 2,519,568,909,225/985,926
  6. Step 6: Final answer
    x = 2,555,535.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.