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Finding the Third Proportional to 3,864,966 and 5,683,785

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Solution

The third proportional to 3,864,966 and 5,683,785 is: 8,358,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864,966 : 5,683,785 = 5,683,785 : x
  2. Step 2: Convert to fraction form
    3,864,966/5,683,785 = 5,683,785/x
  3. Step 3: Cross multiply
    3,864,966x = 5,683,785 × 5,683,785
  4. Step 4: Simplify right side
    3,864,966x = 32,305,411,926,225
  5. Step 5: Solve for x
    x = 32,305,411,926,225/3,864,966
  6. Step 6: Final answer
    x = 8,358,524.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.