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Finding the Third Proportional to 643,187 and 945,510

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Solution

The third proportional to 643,187 and 945,510 is: 1,389,936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,187 : 945,510 = 945,510 : x
  2. Step 2: Convert to fraction form
    643,187/945,510 = 945,510/x
  3. Step 3: Cross multiply
    643,187x = 945,510 × 945,510
  4. Step 4: Simplify right side
    643,187x = 893,989,160,100
  5. Step 5: Solve for x
    x = 893,989,160,100/643,187
  6. Step 6: Final answer
    x = 1,389,936.61

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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.