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Finding the Third Proportional to 2,011,088 and 2,813,120

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Solution

The third proportional to 2,011,088 and 2,813,120 is: 3,935,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,088 : 2,813,120 = 2,813,120 : x
  2. Step 2: Convert to fraction form
    2,011,088/2,813,120 = 2,813,120/x
  3. Step 3: Cross multiply
    2,011,088x = 2,813,120 × 2,813,120
  4. Step 4: Simplify right side
    2,011,088x = 7,913,644,134,400
  5. Step 5: Solve for x
    x = 7,913,644,134,400/2,011,088
  6. Step 6: Final answer
    x = 3,935,006.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.