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Finding the Third Proportional to 405,884 and 880,934

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Solution

The third proportional to 405,884 and 880,934 is: 1,911,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,884 : 880,934 = 880,934 : x
  2. Step 2: Convert to fraction form
    405,884/880,934 = 880,934/x
  3. Step 3: Cross multiply
    405,884x = 880,934 × 880,934
  4. Step 4: Simplify right side
    405,884x = 776,044,712,356
  5. Step 5: Solve for x
    x = 776,044,712,356/405,884
  6. Step 6: Final answer
    x = 1,911,986.46

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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.