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Finding the Third Proportional to 1,408,101.19 and 2,890,849.31

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Solution

The third proportional to 1,408,101.19 and 2,890,849.31 is: 5,934,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,101.19 : 2,890,849.31 = 2,890,849.31 : x
  2. Step 2: Convert to fraction form
    1,408,101.19/2,890,849.31 = 2,890,849.31/x
  3. Step 3: Cross multiply
    1,408,101.19x = 2,890,849.31 × 2,890,849.31
  4. Step 4: Simplify right side
    1,408,101.19x = 8,357,009,747,581.72
  5. Step 5: Solve for x
    x = 8,357,009,747,581.72/1,408,101.19
  6. Step 6: Final answer
    x = 5,934,949.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.