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Finding the Third Proportional to 2,118,818.25 and 4,633,746.75

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Solution

The third proportional to 2,118,818.25 and 4,633,746.75 is: 10,133,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,818.25 : 4,633,746.75 = 4,633,746.75 : x
  2. Step 2: Convert to fraction form
    2,118,818.25/4,633,746.75 = 4,633,746.75/x
  3. Step 3: Cross multiply
    2,118,818.25x = 4,633,746.75 × 4,633,746.75
  4. Step 4: Simplify right side
    2,118,818.25x = 21,471,608,943,135.56
  5. Step 5: Solve for x
    x = 21,471,608,943,135.56/2,118,818.25
  6. Step 6: Final answer
    x = 10,133,766.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.