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Finding the Third Proportional to 1,541,051.16 and 2,454,278.48

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Solution

The third proportional to 1,541,051.16 and 2,454,278.48 is: 3,908,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,051.16 : 2,454,278.48 = 2,454,278.48 : x
  2. Step 2: Convert to fraction form
    1,541,051.16/2,454,278.48 = 2,454,278.48/x
  3. Step 3: Cross multiply
    1,541,051.16x = 2,454,278.48 × 2,454,278.48
  4. Step 4: Simplify right side
    1,541,051.16x = 6,023,482,878,866.05
  5. Step 5: Solve for x
    x = 6,023,482,878,866.05/1,541,051.16
  6. Step 6: Final answer
    x = 3,908,684.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.