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Finding the Third Proportional to 462,441.58 and 1,008,920.34

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Solution

The third proportional to 462,441.58 and 1,008,920.34 is: 2,201,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,441.58 : 1,008,920.34 = 1,008,920.34 : x
  2. Step 2: Convert to fraction form
    462,441.58/1,008,920.34 = 1,008,920.34/x
  3. Step 3: Cross multiply
    462,441.58x = 1,008,920.34 × 1,008,920.34
  4. Step 4: Simplify right side
    462,441.58x = 1,017,920,248,209.28
  5. Step 5: Solve for x
    x = 1,017,920,248,209.28/462,441.58
  6. Step 6: Final answer
    x = 2,201,186.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.