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Finding the Third Proportional to 458,510.06 and 1,005,593.63

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Solution

The third proportional to 458,510.06 and 1,005,593.63 is: 2,205,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,510.06 : 1,005,593.63 = 1,005,593.63 : x
  2. Step 2: Convert to fraction form
    458,510.06/1,005,593.63 = 1,005,593.63/x
  3. Step 3: Cross multiply
    458,510.06x = 1,005,593.63 × 1,005,593.63
  4. Step 4: Simplify right side
    458,510.06x = 1,011,218,538,640.64
  5. Step 5: Solve for x
    x = 1,011,218,538,640.64/458,510.06
  6. Step 6: Final answer
    x = 2,205,444.59

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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.