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Finding the Third Proportional to 461,208 and 1,011,262

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Solution

The third proportional to 461,208 and 1,011,262 is: 2,217,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,208 : 1,011,262 = 1,011,262 : x
  2. Step 2: Convert to fraction form
    461,208/1,011,262 = 1,011,262/x
  3. Step 3: Cross multiply
    461,208x = 1,011,262 × 1,011,262
  4. Step 4: Simplify right side
    461,208x = 1,022,650,832,644
  5. Step 5: Solve for x
    x = 1,022,650,832,644/461,208
  6. Step 6: Final answer
    x = 2,217,331.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.