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Finding the Third Proportional to 3,102,149 and 4,656,504

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Solution

The third proportional to 3,102,149 and 4,656,504 is: 6,989,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,149 : 4,656,504 = 4,656,504 : x
  2. Step 2: Convert to fraction form
    3,102,149/4,656,504 = 4,656,504/x
  3. Step 3: Cross multiply
    3,102,149x = 4,656,504 × 4,656,504
  4. Step 4: Simplify right side
    3,102,149x = 21,683,029,502,016
  5. Step 5: Solve for x
    x = 21,683,029,502,016/3,102,149
  6. Step 6: Final answer
    x = 6,989,680.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.