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Finding the Third Proportional to 614,623 and 964,164

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Solution

The third proportional to 614,623 and 964,164 is: 1,512,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,623 : 964,164 = 964,164 : x
  2. Step 2: Convert to fraction form
    614,623/964,164 = 964,164/x
  3. Step 3: Cross multiply
    614,623x = 964,164 × 964,164
  4. Step 4: Simplify right side
    614,623x = 929,612,218,896
  5. Step 5: Solve for x
    x = 929,612,218,896/614,623
  6. Step 6: Final answer
    x = 1,512,491.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.