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Finding the Third Proportional to 434,842 and 976,561

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Solution

The third proportional to 434,842 and 976,561 is: 2,193,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,842 : 976,561 = 976,561 : x
  2. Step 2: Convert to fraction form
    434,842/976,561 = 976,561/x
  3. Step 3: Cross multiply
    434,842x = 976,561 × 976,561
  4. Step 4: Simplify right side
    434,842x = 953,671,386,721
  5. Step 5: Solve for x
    x = 953,671,386,721/434,842
  6. Step 6: Final answer
    x = 2,193,144.61

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.