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Finding the Third Proportional to 643,014 and 946,757

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Solution

The third proportional to 643,014 and 946,757 is: 1,393,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,014 : 946,757 = 946,757 : x
  2. Step 2: Convert to fraction form
    643,014/946,757 = 946,757/x
  3. Step 3: Cross multiply
    643,014x = 946,757 × 946,757
  4. Step 4: Simplify right side
    643,014x = 896,348,817,049
  5. Step 5: Solve for x
    x = 896,348,817,049/643,014
  6. Step 6: Final answer
    x = 1,393,980.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.