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Finding the Third Proportional to 693,676.41 and 1,513,406.95

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Solution

The third proportional to 693,676.41 and 1,513,406.95 is: 3,301,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,676.41 : 1,513,406.95 = 1,513,406.95 : x
  2. Step 2: Convert to fraction form
    693,676.41/1,513,406.95 = 1,513,406.95/x
  3. Step 3: Cross multiply
    693,676.41x = 1,513,406.95 × 1,513,406.95
  4. Step 4: Simplify right side
    693,676.41x = 2,290,400,605,767.10
  5. Step 5: Solve for x
    x = 2,290,400,605,767.10/693,676.41
  6. Step 6: Final answer
    x = 3,301,828.61

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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.