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Finding the Third Proportional to 852,153 and 1,356,600

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Solution

The third proportional to 852,153 and 1,356,600 is: 2,159,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,153 : 1,356,600 = 1,356,600 : x
  2. Step 2: Convert to fraction form
    852,153/1,356,600 = 1,356,600/x
  3. Step 3: Cross multiply
    852,153x = 1,356,600 × 1,356,600
  4. Step 4: Simplify right side
    852,153x = 1,840,363,560,000
  5. Step 5: Solve for x
    x = 1,840,363,560,000/852,153
  6. Step 6: Final answer
    x = 2,159,663.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.