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Finding the Third Proportional to 621,726 and 960,062

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Solution

The third proportional to 621,726 and 960,062 is: 1,482,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,726 : 960,062 = 960,062 : x
  2. Step 2: Convert to fraction form
    621,726/960,062 = 960,062/x
  3. Step 3: Cross multiply
    621,726x = 960,062 × 960,062
  4. Step 4: Simplify right side
    621,726x = 921,719,043,844
  5. Step 5: Solve for x
    x = 921,719,043,844/621,726
  6. Step 6: Final answer
    x = 1,482,516.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.