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Finding the Third Proportional to 657,380 and 939,414

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Solution

The third proportional to 657,380 and 939,414 is: 1,342,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,380 : 939,414 = 939,414 : x
  2. Step 2: Convert to fraction form
    657,380/939,414 = 939,414/x
  3. Step 3: Cross multiply
    657,380x = 939,414 × 939,414
  4. Step 4: Simplify right side
    657,380x = 882,498,663,396
  5. Step 5: Solve for x
    x = 882,498,663,396/657,380
  6. Step 6: Final answer
    x = 1,342,448.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.