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Finding the Third Proportional to 469,649.81 and 1,005,706.13

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Solution

The third proportional to 469,649.81 and 1,005,706.13 is: 2,153,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,649.81 : 1,005,706.13 = 1,005,706.13 : x
  2. Step 2: Convert to fraction form
    469,649.81/1,005,706.13 = 1,005,706.13/x
  3. Step 3: Cross multiply
    469,649.81x = 1,005,706.13 × 1,005,706.13
  4. Step 4: Simplify right side
    469,649.81x = 1,011,444,809,862.52
  5. Step 5: Solve for x
    x = 1,011,444,809,862.52/469,649.81
  6. Step 6: Final answer
    x = 2,153,614.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.