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Finding the Third Proportional to 2,376,594 and 4,949,012

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Solution

The third proportional to 2,376,594 and 4,949,012 is: 10,305,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,594 : 4,949,012 = 4,949,012 : x
  2. Step 2: Convert to fraction form
    2,376,594/4,949,012 = 4,949,012/x
  3. Step 3: Cross multiply
    2,376,594x = 4,949,012 × 4,949,012
  4. Step 4: Simplify right side
    2,376,594x = 24,492,719,776,144
  5. Step 5: Solve for x
    x = 24,492,719,776,144/2,376,594
  6. Step 6: Final answer
    x = 10,305,807.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.