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Finding the Third Proportional to 462,058.50 and 1,011,222

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Solution

The third proportional to 462,058.50 and 1,011,222 is: 2,213,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,058.50 : 1,011,222 = 1,011,222 : x
  2. Step 2: Convert to fraction form
    462,058.50/1,011,222 = 1,011,222/x
  3. Step 3: Cross multiply
    462,058.50x = 1,011,222 × 1,011,222
  4. Step 4: Simplify right side
    462,058.50x = 1,022,569,933,284
  5. Step 5: Solve for x
    x = 1,022,569,933,284/462,058.50
  6. Step 6: Final answer
    x = 2,213,074.61

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