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Finding the Third Proportional to 405,910 and 876,862

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Solution

The third proportional to 405,910 and 876,862 is: 1,894,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,910 : 876,862 = 876,862 : x
  2. Step 2: Convert to fraction form
    405,910/876,862 = 876,862/x
  3. Step 3: Cross multiply
    405,910x = 876,862 × 876,862
  4. Step 4: Simplify right side
    405,910x = 768,886,967,044
  5. Step 5: Solve for x
    x = 768,886,967,044/405,910
  6. Step 6: Final answer
    x = 1,894,230.17

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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.