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Finding the Third Proportional to 829,910 and 1,317,441

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Solution

The third proportional to 829,910 and 1,317,441 is: 2,091,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,910 : 1,317,441 = 1,317,441 : x
  2. Step 2: Convert to fraction form
    829,910/1,317,441 = 1,317,441/x
  3. Step 3: Cross multiply
    829,910x = 1,317,441 × 1,317,441
  4. Step 4: Simplify right side
    829,910x = 1,735,650,788,481
  5. Step 5: Solve for x
    x = 1,735,650,788,481/829,910
  6. Step 6: Final answer
    x = 2,091,372.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.