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Finding the Third Proportional to 1,004,141.39 and 2,207,547.84

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Solution

The third proportional to 1,004,141.39 and 2,207,547.84 is: 4,853,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,141.39 : 2,207,547.84 = 2,207,547.84 : x
  2. Step 2: Convert to fraction form
    1,004,141.39/2,207,547.84 = 2,207,547.84/x
  3. Step 3: Cross multiply
    1,004,141.39x = 2,207,547.84 × 2,207,547.84
  4. Step 4: Simplify right side
    1,004,141.39x = 4,873,267,482,445.27
  5. Step 5: Solve for x
    x = 4,873,267,482,445.27/1,004,141.39
  6. Step 6: Final answer
    x = 4,853,168.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.