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Finding the Third Proportional to 674,432.25 and 1,411,221

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Solution

The third proportional to 674,432.25 and 1,411,221 is: 2,952,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,432.25 : 1,411,221 = 1,411,221 : x
  2. Step 2: Convert to fraction form
    674,432.25/1,411,221 = 1,411,221/x
  3. Step 3: Cross multiply
    674,432.25x = 1,411,221 × 1,411,221
  4. Step 4: Simplify right side
    674,432.25x = 1,991,544,710,841
  5. Step 5: Solve for x
    x = 1,991,544,710,841/674,432.25
  6. Step 6: Final answer
    x = 2,952,920.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.