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Finding the Third Proportional to 1,966,614.19 and 4,290,666.19

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Solution

The third proportional to 1,966,614.19 and 4,290,666.19 is: 9,361,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,614.19 : 4,290,666.19 = 4,290,666.19 : x
  2. Step 2: Convert to fraction form
    1,966,614.19/4,290,666.19 = 4,290,666.19/x
  3. Step 3: Cross multiply
    1,966,614.19x = 4,290,666.19 × 4,290,666.19
  4. Step 4: Simplify right side
    1,966,614.19x = 18,409,816,332,555.79
  5. Step 5: Solve for x
    x = 18,409,816,332,555.79/1,966,614.19
  6. Step 6: Final answer
    x = 9,361,173.36

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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.