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Finding the Third Proportional to 537,664 and 810,648

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Solution

The third proportional to 537,664 and 810,648 is: 1,222,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,664 : 810,648 = 810,648 : x
  2. Step 2: Convert to fraction form
    537,664/810,648 = 810,648/x
  3. Step 3: Cross multiply
    537,664x = 810,648 × 810,648
  4. Step 4: Simplify right side
    537,664x = 657,150,179,904
  5. Step 5: Solve for x
    x = 657,150,179,904/537,664
  6. Step 6: Final answer
    x = 1,222,232.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.