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Finding the Third Proportional to 1,183,780 and 2,566,748

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Solution

The third proportional to 1,183,780 and 2,566,748 is: 5,565,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,780 : 2,566,748 = 2,566,748 : x
  2. Step 2: Convert to fraction form
    1,183,780/2,566,748 = 2,566,748/x
  3. Step 3: Cross multiply
    1,183,780x = 2,566,748 × 2,566,748
  4. Step 4: Simplify right side
    1,183,780x = 6,588,195,295,504
  5. Step 5: Solve for x
    x = 6,588,195,295,504/1,183,780
  6. Step 6: Final answer
    x = 5,565,388.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.