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Finding the Third Proportional to 458,511.75 and 1,005,597

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Solution

The third proportional to 458,511.75 and 1,005,597 is: 2,205,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,511.75 : 1,005,597 = 1,005,597 : x
  2. Step 2: Convert to fraction form
    458,511.75/1,005,597 = 1,005,597/x
  3. Step 3: Cross multiply
    458,511.75x = 1,005,597 × 1,005,597
  4. Step 4: Simplify right side
    458,511.75x = 1,011,225,326,409
  5. Step 5: Solve for x
    x = 1,011,225,326,409/458,511.75
  6. Step 6: Final answer
    x = 2,205,451.28

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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.