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Finding the Third Proportional to 1,709,864.44 and 2,668,314.66

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Solution

The third proportional to 1,709,864.44 and 2,668,314.66 is: 4,164,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,864.44 : 2,668,314.66 = 2,668,314.66 : x
  2. Step 2: Convert to fraction form
    1,709,864.44/2,668,314.66 = 2,668,314.66/x
  3. Step 3: Cross multiply
    1,709,864.44x = 2,668,314.66 × 2,668,314.66
  4. Step 4: Simplify right side
    1,709,864.44x = 7,119,903,104,758.56
  5. Step 5: Solve for x
    x = 7,119,903,104,758.56/1,709,864.44
  6. Step 6: Final answer
    x = 4,164,016.13

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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.