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Finding the Third Proportional to 2,301,760 and 3,484,624

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Solution

The third proportional to 2,301,760 and 3,484,624 is: 5,275,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,760 : 3,484,624 = 3,484,624 : x
  2. Step 2: Convert to fraction form
    2,301,760/3,484,624 = 3,484,624/x
  3. Step 3: Cross multiply
    2,301,760x = 3,484,624 × 3,484,624
  4. Step 4: Simplify right side
    2,301,760x = 12,142,604,421,376
  5. Step 5: Solve for x
    x = 12,142,604,421,376/2,301,760
  6. Step 6: Final answer
    x = 5,275,356.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.