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Finding the Third Proportional to 2,144,684.25 and 4,714,429.50

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Solution

The third proportional to 2,144,684.25 and 4,714,429.50 is: 10,363,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,684.25 : 4,714,429.50 = 4,714,429.50 : x
  2. Step 2: Convert to fraction form
    2,144,684.25/4,714,429.50 = 4,714,429.50/x
  3. Step 3: Cross multiply
    2,144,684.25x = 4,714,429.50 × 4,714,429.50
  4. Step 4: Simplify right side
    2,144,684.25x = 22,225,845,510,470.25
  5. Step 5: Solve for x
    x = 22,225,845,510,470.25/2,144,684.25
  6. Step 6: Final answer
    x = 10,363,225.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.