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Finding the Third Proportional to 1,035,408 and 2,214,747

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Solution

The third proportional to 1,035,408 and 2,214,747 is: 4,737,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,408 : 2,214,747 = 2,214,747 : x
  2. Step 2: Convert to fraction form
    1,035,408/2,214,747 = 2,214,747/x
  3. Step 3: Cross multiply
    1,035,408x = 2,214,747 × 2,214,747
  4. Step 4: Simplify right side
    1,035,408x = 4,905,104,274,009
  5. Step 5: Solve for x
    x = 4,905,104,274,009/1,035,408
  6. Step 6: Final answer
    x = 4,737,363.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.