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Finding the Third Proportional to 2,289,712 and 4,973,084

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Solution

The third proportional to 2,289,712 and 4,973,084 is: 10,801,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,712 : 4,973,084 = 4,973,084 : x
  2. Step 2: Convert to fraction form
    2,289,712/4,973,084 = 4,973,084/x
  3. Step 3: Cross multiply
    2,289,712x = 4,973,084 × 4,973,084
  4. Step 4: Simplify right side
    2,289,712x = 24,731,564,471,056
  5. Step 5: Solve for x
    x = 24,731,564,471,056/2,289,712
  6. Step 6: Final answer
    x = 10,801,168.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.