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Finding the Third Proportional to 852,664 and 1,841,948

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Solution

The third proportional to 852,664 and 1,841,948 is: 3,979,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,664 : 1,841,948 = 1,841,948 : x
  2. Step 2: Convert to fraction form
    852,664/1,841,948 = 1,841,948/x
  3. Step 3: Cross multiply
    852,664x = 1,841,948 × 1,841,948
  4. Step 4: Simplify right side
    852,664x = 3,392,772,434,704
  5. Step 5: Solve for x
    x = 3,392,772,434,704/852,664
  6. Step 6: Final answer
    x = 3,979,026.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.