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Finding the Third Proportional to 2,219,667.50 and 4,871,382

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Solution

The third proportional to 2,219,667.50 and 4,871,382 is: 10,690,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,667.50 : 4,871,382 = 4,871,382 : x
  2. Step 2: Convert to fraction form
    2,219,667.50/4,871,382 = 4,871,382/x
  3. Step 3: Cross multiply
    2,219,667.50x = 4,871,382 × 4,871,382
  4. Step 4: Simplify right side
    2,219,667.50x = 23,730,362,589,924
  5. Step 5: Solve for x
    x = 23,730,362,589,924/2,219,667.50
  6. Step 6: Final answer
    x = 10,690,953.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.