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Finding the Third Proportional to 2,011,098 and 2,813,128

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Solution

The third proportional to 2,011,098 and 2,813,128 is: 3,935,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,098 : 2,813,128 = 2,813,128 : x
  2. Step 2: Convert to fraction form
    2,011,098/2,813,128 = 2,813,128/x
  3. Step 3: Cross multiply
    2,011,098x = 2,813,128 × 2,813,128
  4. Step 4: Simplify right side
    2,011,098x = 7,913,689,144,384
  5. Step 5: Solve for x
    x = 7,913,689,144,384/2,011,098
  6. Step 6: Final answer
    x = 3,935,009.21

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