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Finding the Third Proportional to 2,096,739 and 3,141,820.50

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Solution

The third proportional to 2,096,739 and 3,141,820.50 is: 4,707,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,739 : 3,141,820.50 = 3,141,820.50 : x
  2. Step 2: Convert to fraction form
    2,096,739/3,141,820.50 = 3,141,820.50/x
  3. Step 3: Cross multiply
    2,096,739x = 3,141,820.50 × 3,141,820.50
  4. Step 4: Simplify right side
    2,096,739x = 9,871,036,054,220.25
  5. Step 5: Solve for x
    x = 9,871,036,054,220.25/2,096,739
  6. Step 6: Final answer
    x = 4,707,803.91

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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.