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Finding the Third Proportional to 2,161,571 and 4,657,160

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Solution

The third proportional to 2,161,571 and 4,657,160 is: 10,033,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,571 : 4,657,160 = 4,657,160 : x
  2. Step 2: Convert to fraction form
    2,161,571/4,657,160 = 4,657,160/x
  3. Step 3: Cross multiply
    2,161,571x = 4,657,160 × 4,657,160
  4. Step 4: Simplify right side
    2,161,571x = 21,689,139,265,600
  5. Step 5: Solve for x
    x = 21,689,139,265,600/2,161,571
  6. Step 6: Final answer
    x = 10,033,970.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.