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Finding the Third Proportional to 641,584 and 1,298,716

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Solution

The third proportional to 641,584 and 1,298,716 is: 2,628,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,584 : 1,298,716 = 1,298,716 : x
  2. Step 2: Convert to fraction form
    641,584/1,298,716 = 1,298,716/x
  3. Step 3: Cross multiply
    641,584x = 1,298,716 × 1,298,716
  4. Step 4: Simplify right side
    641,584x = 1,686,663,248,656
  5. Step 5: Solve for x
    x = 1,686,663,248,656/641,584
  6. Step 6: Final answer
    x = 2,628,904.79

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.