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Finding the Third Proportional to 480,346.88 and 1,034,920.13

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Solution

The third proportional to 480,346.88 and 1,034,920.13 is: 2,229,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,346.88 : 1,034,920.13 = 1,034,920.13 : x
  2. Step 2: Convert to fraction form
    480,346.88/1,034,920.13 = 1,034,920.13/x
  3. Step 3: Cross multiply
    480,346.88x = 1,034,920.13 × 1,034,920.13
  4. Step 4: Simplify right side
    480,346.88x = 1,071,059,665,130.02
  5. Step 5: Solve for x
    x = 1,071,059,665,130.02/480,346.88
  6. Step 6: Final answer
    x = 2,229,762.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.