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Finding the Third Proportional to 2,219,672 and 4,871,392

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Solution

The third proportional to 2,219,672 and 4,871,392 is: 10,690,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,672 : 4,871,392 = 4,871,392 : x
  2. Step 2: Convert to fraction form
    2,219,672/4,871,392 = 4,871,392/x
  3. Step 3: Cross multiply
    2,219,672x = 4,871,392 × 4,871,392
  4. Step 4: Simplify right side
    2,219,672x = 23,730,460,017,664
  5. Step 5: Solve for x
    x = 23,730,460,017,664/2,219,672
  6. Step 6: Final answer
    x = 10,690,975.97

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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.