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Finding the Third Proportional to 407,934 and 881,370

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Solution

The third proportional to 407,934 and 881,370 is: 1,904,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,934 : 881,370 = 881,370 : x
  2. Step 2: Convert to fraction form
    407,934/881,370 = 881,370/x
  3. Step 3: Cross multiply
    407,934x = 881,370 × 881,370
  4. Step 4: Simplify right side
    407,934x = 776,813,076,900
  5. Step 5: Solve for x
    x = 776,813,076,900/407,934
  6. Step 6: Final answer
    x = 1,904,261.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.