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Finding the Third Proportional to 1,663,062 and 2,509,641

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Solution

The third proportional to 1,663,062 and 2,509,641 is: 3,787,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,062 : 2,509,641 = 2,509,641 : x
  2. Step 2: Convert to fraction form
    1,663,062/2,509,641 = 2,509,641/x
  3. Step 3: Cross multiply
    1,663,062x = 2,509,641 × 2,509,641
  4. Step 4: Simplify right side
    1,663,062x = 6,298,297,948,881
  5. Step 5: Solve for x
    x = 6,298,297,948,881/1,663,062
  6. Step 6: Final answer
    x = 3,787,169.66

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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.