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Finding the Third Proportional to 676,037.25 and 1,370,742.75

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Solution

The third proportional to 676,037.25 and 1,370,742.75 is: 2,779,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,037.25 : 1,370,742.75 = 1,370,742.75 : x
  2. Step 2: Convert to fraction form
    676,037.25/1,370,742.75 = 1,370,742.75/x
  3. Step 3: Cross multiply
    676,037.25x = 1,370,742.75 × 1,370,742.75
  4. Step 4: Simplify right side
    676,037.25x = 1,878,935,686,677.56
  5. Step 5: Solve for x
    x = 1,878,935,686,677.56/676,037.25
  6. Step 6: Final answer
    x = 2,779,337.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.