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Finding the Third Proportional to 2,127,413 and 3,193,296

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Solution

The third proportional to 2,127,413 and 3,193,296 is: 4,793,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,413 : 3,193,296 = 3,193,296 : x
  2. Step 2: Convert to fraction form
    2,127,413/3,193,296 = 3,193,296/x
  3. Step 3: Cross multiply
    2,127,413x = 3,193,296 × 3,193,296
  4. Step 4: Simplify right side
    2,127,413x = 10,197,139,343,616
  5. Step 5: Solve for x
    x = 10,197,139,343,616/2,127,413
  6. Step 6: Final answer
    x = 4,793,210.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.