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Finding the Third Proportional to 2,138,656.50 and 4,454,291.25

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Solution

The third proportional to 2,138,656.50 and 4,454,291.25 is: 9,277,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,656.50 : 4,454,291.25 = 4,454,291.25 : x
  2. Step 2: Convert to fraction form
    2,138,656.50/4,454,291.25 = 4,454,291.25/x
  3. Step 3: Cross multiply
    2,138,656.50x = 4,454,291.25 × 4,454,291.25
  4. Step 4: Simplify right side
    2,138,656.50x = 19,840,710,539,826.56
  5. Step 5: Solve for x
    x = 19,840,710,539,826.56/2,138,656.50
  6. Step 6: Final answer
    x = 9,277,184.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.