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Finding the Third Proportional to 656,226 and 938,400

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Solution

The third proportional to 656,226 and 938,400 is: 1,341,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,226 : 938,400 = 938,400 : x
  2. Step 2: Convert to fraction form
    656,226/938,400 = 938,400/x
  3. Step 3: Cross multiply
    656,226x = 938,400 × 938,400
  4. Step 4: Simplify right side
    656,226x = 880,594,560,000
  5. Step 5: Solve for x
    x = 880,594,560,000/656,226
  6. Step 6: Final answer
    x = 1,341,907.45

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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.