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Finding the Third Proportional to 2,343,141 and 4,871,610

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Solution

The third proportional to 2,343,141 and 4,871,610 is: 10,128,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343,141 : 4,871,610 = 4,871,610 : x
  2. Step 2: Convert to fraction form
    2,343,141/4,871,610 = 4,871,610/x
  3. Step 3: Cross multiply
    2,343,141x = 4,871,610 × 4,871,610
  4. Step 4: Simplify right side
    2,343,141x = 23,732,583,992,100
  5. Step 5: Solve for x
    x = 23,732,583,992,100/2,343,141
  6. Step 6: Final answer
    x = 10,128,534.30

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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.