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Finding the Third Proportional to 1,005,408 and 2,154,738

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Solution

The third proportional to 1,005,408 and 2,154,738 is: 4,617,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,408 : 2,154,738 = 2,154,738 : x
  2. Step 2: Convert to fraction form
    1,005,408/2,154,738 = 2,154,738/x
  3. Step 3: Cross multiply
    1,005,408x = 2,154,738 × 2,154,738
  4. Step 4: Simplify right side
    1,005,408x = 4,642,895,848,644
  5. Step 5: Solve for x
    x = 4,642,895,848,644/1,005,408
  6. Step 6: Final answer
    x = 4,617,922.13

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Why These Related Problems?

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