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Finding the Third Proportional to 4,871,442 and 6,810,564

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Solution

The third proportional to 4,871,442 and 6,810,564 is: 9,521,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871,442 : 6,810,564 = 6,810,564 : x
  2. Step 2: Convert to fraction form
    4,871,442/6,810,564 = 6,810,564/x
  3. Step 3: Cross multiply
    4,871,442x = 6,810,564 × 6,810,564
  4. Step 4: Simplify right side
    4,871,442x = 46,383,781,998,096
  5. Step 5: Solve for x
    x = 46,383,781,998,096/4,871,442
  6. Step 6: Final answer
    x = 9,521,571.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.