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Finding the Third Proportional to 3,120,882 and 4,896,972

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Solution

The third proportional to 3,120,882 and 4,896,972 is: 7,683,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120,882 : 4,896,972 = 4,896,972 : x
  2. Step 2: Convert to fraction form
    3,120,882/4,896,972 = 4,896,972/x
  3. Step 3: Cross multiply
    3,120,882x = 4,896,972 × 4,896,972
  4. Step 4: Simplify right side
    3,120,882x = 23,980,334,768,784
  5. Step 5: Solve for x
    x = 23,980,334,768,784/3,120,882
  6. Step 6: Final answer
    x = 7,683,832.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.