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Finding the Third Proportional to 2,198,142 and 4,632,444

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Solution

The third proportional to 2,198,142 and 4,632,444 is: 9,762,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,142 : 4,632,444 = 4,632,444 : x
  2. Step 2: Convert to fraction form
    2,198,142/4,632,444 = 4,632,444/x
  3. Step 3: Cross multiply
    2,198,142x = 4,632,444 × 4,632,444
  4. Step 4: Simplify right side
    2,198,142x = 21,459,537,413,136
  5. Step 5: Solve for x
    x = 21,459,537,413,136/2,198,142
  6. Step 6: Final answer
    x = 9,762,580.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.