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Finding the Third Proportional to 1,745,646.19 and 2,724,584.34

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Solution

The third proportional to 1,745,646.19 and 2,724,584.34 is: 4,252,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,646.19 : 2,724,584.34 = 2,724,584.34 : x
  2. Step 2: Convert to fraction form
    1,745,646.19/2,724,584.34 = 2,724,584.34/x
  3. Step 3: Cross multiply
    1,745,646.19x = 2,724,584.34 × 2,724,584.34
  4. Step 4: Simplify right side
    1,745,646.19x = 7,423,359,846,207.62
  5. Step 5: Solve for x
    x = 7,423,359,846,207.62/1,745,646.19
  6. Step 6: Final answer
    x = 4,252,499.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.