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Finding the Third Proportional to 589,221 and 1,255,716

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Solution

The third proportional to 589,221 and 1,255,716 is: 2,676,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,221 : 1,255,716 = 1,255,716 : x
  2. Step 2: Convert to fraction form
    589,221/1,255,716 = 1,255,716/x
  3. Step 3: Cross multiply
    589,221x = 1,255,716 × 1,255,716
  4. Step 4: Simplify right side
    589,221x = 1,576,822,672,656
  5. Step 5: Solve for x
    x = 1,576,822,672,656/589,221
  6. Step 6: Final answer
    x = 2,676,114.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.