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Finding the Third Proportional to 458,509.83 and 1,005,593.11

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Solution

The third proportional to 458,509.83 and 1,005,593.11 is: 2,205,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,509.83 : 1,005,593.11 = 1,005,593.11 : x
  2. Step 2: Convert to fraction form
    458,509.83/1,005,593.11 = 1,005,593.11/x
  3. Step 3: Cross multiply
    458,509.83x = 1,005,593.11 × 1,005,593.11
  4. Step 4: Simplify right side
    458,509.83x = 1,011,217,501,622.48
  5. Step 5: Solve for x
    x = 1,011,217,501,622.48/458,509.83
  6. Step 6: Final answer
    x = 2,205,443.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.