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Finding the Third Proportional to 434,229 and 942,729

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Solution

The third proportional to 434,229 and 942,729 is: 2,046,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,229 : 942,729 = 942,729 : x
  2. Step 2: Convert to fraction form
    434,229/942,729 = 942,729/x
  3. Step 3: Cross multiply
    434,229x = 942,729 × 942,729
  4. Step 4: Simplify right side
    434,229x = 888,737,967,441
  5. Step 5: Solve for x
    x = 888,737,967,441/434,229
  6. Step 6: Final answer
    x = 2,046,703.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.