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Finding the Third Proportional to 622,908 and 946,959

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Solution

The third proportional to 622,908 and 946,959 is: 1,439,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,908 : 946,959 = 946,959 : x
  2. Step 2: Convert to fraction form
    622,908/946,959 = 946,959/x
  3. Step 3: Cross multiply
    622,908x = 946,959 × 946,959
  4. Step 4: Simplify right side
    622,908x = 896,731,347,681
  5. Step 5: Solve for x
    x = 896,731,347,681/622,908
  6. Step 6: Final answer
    x = 1,439,588.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.