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Finding the Third Proportional to 1,105,787 and 1,668,825

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Solution

The third proportional to 1,105,787 and 1,668,825 is: 2,518,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,787 : 1,668,825 = 1,668,825 : x
  2. Step 2: Convert to fraction form
    1,105,787/1,668,825 = 1,668,825/x
  3. Step 3: Cross multiply
    1,105,787x = 1,668,825 × 1,668,825
  4. Step 4: Simplify right side
    1,105,787x = 2,784,976,880,625
  5. Step 5: Solve for x
    x = 2,784,976,880,625/1,105,787
  6. Step 6: Final answer
    x = 2,518,547.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.