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Finding the Third Proportional to 1,105,092.81 and 1,650,821.92

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Solution

The third proportional to 1,105,092.81 and 1,650,821.92 is: 2,466,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,092.81 : 1,650,821.92 = 1,650,821.92 : x
  2. Step 2: Convert to fraction form
    1,105,092.81/1,650,821.92 = 1,650,821.92/x
  3. Step 3: Cross multiply
    1,105,092.81x = 1,650,821.92 × 1,650,821.92
  4. Step 4: Simplify right side
    1,105,092.81x = 2,725,213,024,191.51
  5. Step 5: Solve for x
    x = 2,725,213,024,191.51/1,105,092.81
  6. Step 6: Final answer
    x = 2,466,049.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.