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Finding the Third Proportional to 852,153 and 1,856,841

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Solution

The third proportional to 852,153 and 1,856,841 is: 4,046,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,153 : 1,856,841 = 1,856,841 : x
  2. Step 2: Convert to fraction form
    852,153/1,856,841 = 1,856,841/x
  3. Step 3: Cross multiply
    852,153x = 1,856,841 × 1,856,841
  4. Step 4: Simplify right side
    852,153x = 3,447,858,499,281
  5. Step 5: Solve for x
    x = 3,447,858,499,281/852,153
  6. Step 6: Final answer
    x = 4,046,055.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.