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Finding the Third Proportional to 1,787,765 and 3,909,748

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Solution

The third proportional to 1,787,765 and 3,909,748 is: 8,550,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,765 : 3,909,748 = 3,909,748 : x
  2. Step 2: Convert to fraction form
    1,787,765/3,909,748 = 3,909,748/x
  3. Step 3: Cross multiply
    1,787,765x = 3,909,748 × 3,909,748
  4. Step 4: Simplify right side
    1,787,765x = 15,286,129,423,504
  5. Step 5: Solve for x
    x = 15,286,129,423,504/1,787,765
  6. Step 6: Final answer
    x = 8,550,413.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.