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Finding the Third Proportional to 409,897 and 890,714

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Solution

The third proportional to 409,897 and 890,714 is: 1,935,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,897 : 890,714 = 890,714 : x
  2. Step 2: Convert to fraction form
    409,897/890,714 = 890,714/x
  3. Step 3: Cross multiply
    409,897x = 890,714 × 890,714
  4. Step 4: Simplify right side
    409,897x = 793,371,429,796
  5. Step 5: Solve for x
    x = 793,371,429,796/409,897
  6. Step 6: Final answer
    x = 1,935,538.51

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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.