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Finding the Third Proportional to 2,006,931 and 4,288,614

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Solution

The third proportional to 2,006,931 and 4,288,614 is: 9,164,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,931 : 4,288,614 = 4,288,614 : x
  2. Step 2: Convert to fraction form
    2,006,931/4,288,614 = 4,288,614/x
  3. Step 3: Cross multiply
    2,006,931x = 4,288,614 × 4,288,614
  4. Step 4: Simplify right side
    2,006,931x = 18,392,210,040,996
  5. Step 5: Solve for x
    x = 18,392,210,040,996/2,006,931
  6. Step 6: Final answer
    x = 9,164,345.98

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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.