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Finding the Third Proportional to 1,346,613.61 and 2,143,763.72

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Solution

The third proportional to 1,346,613.61 and 2,143,763.72 is: 3,412,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,613.61 : 2,143,763.72 = 2,143,763.72 : x
  2. Step 2: Convert to fraction form
    1,346,613.61/2,143,763.72 = 2,143,763.72/x
  3. Step 3: Cross multiply
    1,346,613.61x = 2,143,763.72 × 2,143,763.72
  4. Step 4: Simplify right side
    1,346,613.61x = 4,595,722,881,828.83
  5. Step 5: Solve for x
    x = 4,595,722,881,828.83/1,346,613.61
  6. Step 6: Final answer
    x = 3,412,799.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.