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Finding the Third Proportional to 976,321.97 and 1,460,946.97

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Solution

The third proportional to 976,321.97 and 1,460,946.97 is: 2,186,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,321.97 : 1,460,946.97 = 1,460,946.97 : x
  2. Step 2: Convert to fraction form
    976,321.97/1,460,946.97 = 1,460,946.97/x
  3. Step 3: Cross multiply
    976,321.97x = 1,460,946.97 × 1,460,946.97
  4. Step 4: Simplify right side
    976,321.97x = 2,134,366,044,073.35
  5. Step 5: Solve for x
    x = 2,134,366,044,073.35/976,321.97
  6. Step 6: Final answer
    x = 2,186,129.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.