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Finding the Third Proportional to 458,186.63 and 1,006,518.66

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Solution

The third proportional to 458,186.63 and 1,006,518.66 is: 2,211,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,186.63 : 1,006,518.66 = 1,006,518.66 : x
  2. Step 2: Convert to fraction form
    458,186.63/1,006,518.66 = 1,006,518.66/x
  3. Step 3: Cross multiply
    458,186.63x = 1,006,518.66 × 1,006,518.66
  4. Step 4: Simplify right side
    458,186.63x = 1,013,079,805,379.31
  5. Step 5: Solve for x
    x = 1,013,079,805,379.31/458,186.63
  6. Step 6: Final answer
    x = 2,211,063.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.