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Finding the Third Proportional to 402,464 and 852,896

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Solution

The third proportional to 402,464 and 852,896 is: 1,807,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,464 : 852,896 = 852,896 : x
  2. Step 2: Convert to fraction form
    402,464/852,896 = 852,896/x
  3. Step 3: Cross multiply
    402,464x = 852,896 × 852,896
  4. Step 4: Simplify right side
    402,464x = 727,431,586,816
  5. Step 5: Solve for x
    x = 727,431,586,816/402,464
  6. Step 6: Final answer
    x = 1,807,445.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.