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Finding the Third Proportional to 1,611,686.58 and 2,438,282.88

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Solution

The third proportional to 1,611,686.58 and 2,438,282.88 is: 3,688,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611,686.58 : 2,438,282.88 = 2,438,282.88 : x
  2. Step 2: Convert to fraction form
    1,611,686.58/2,438,282.88 = 2,438,282.88/x
  3. Step 3: Cross multiply
    1,611,686.58x = 2,438,282.88 × 2,438,282.88
  4. Step 4: Simplify right side
    1,611,686.58x = 5,945,223,416,616.44
  5. Step 5: Solve for x
    x = 5,945,223,416,616.44/1,611,686.58
  6. Step 6: Final answer
    x = 3,688,821.06

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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.