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Finding the Third Proportional to 2,129,422.50 and 4,644,216

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Solution

The third proportional to 2,129,422.50 and 4,644,216 is: 10,128,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,422.50 : 4,644,216 = 4,644,216 : x
  2. Step 2: Convert to fraction form
    2,129,422.50/4,644,216 = 4,644,216/x
  3. Step 3: Cross multiply
    2,129,422.50x = 4,644,216 × 4,644,216
  4. Step 4: Simplify right side
    2,129,422.50x = 21,568,742,254,656
  5. Step 5: Solve for x
    x = 21,568,742,254,656/2,129,422.50
  6. Step 6: Final answer
    x = 10,128,916.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.