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Finding the Third Proportional to 2,005,143 and 4,329,894

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Solution

The third proportional to 2,005,143 and 4,329,894 is: 9,349,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,143 : 4,329,894 = 4,329,894 : x
  2. Step 2: Convert to fraction form
    2,005,143/4,329,894 = 4,329,894/x
  3. Step 3: Cross multiply
    2,005,143x = 4,329,894 × 4,329,894
  4. Step 4: Simplify right side
    2,005,143x = 18,747,982,051,236
  5. Step 5: Solve for x
    x = 18,747,982,051,236/2,005,143
  6. Step 6: Final answer
    x = 9,349,947.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.