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Finding the Third Proportional to 2,400,978.38 and 3,662,445.38

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Solution

The third proportional to 2,400,978.38 and 3,662,445.38 is: 5,586,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,978.38 : 3,662,445.38 = 3,662,445.38 : x
  2. Step 2: Convert to fraction form
    2,400,978.38/3,662,445.38 = 3,662,445.38/x
  3. Step 3: Cross multiply
    2,400,978.38x = 3,662,445.38 × 3,662,445.38
  4. Step 4: Simplify right side
    2,400,978.38x = 13,413,506,124,858.89
  5. Step 5: Solve for x
    x = 13,413,506,124,858.89/2,400,978.38
  6. Step 6: Final answer
    x = 5,586,683.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.