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Finding the Third Proportional to 2,343,138 and 4,871,604

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Solution

The third proportional to 2,343,138 and 4,871,604 is: 10,128,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,138 : 4,871,604 = 4,871,604 : x
  2. Step 2: Convert to fraction form
    2,343,138/4,871,604 = 4,871,604/x
  3. Step 3: Cross multiply
    2,343,138x = 4,871,604 × 4,871,604
  4. Step 4: Simplify right side
    2,343,138x = 23,732,525,532,816
  5. Step 5: Solve for x
    x = 23,732,525,532,816/2,343,138
  6. Step 6: Final answer
    x = 10,128,522.32

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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.