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Finding the Third Proportional to 890,286 and 1,886,511

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Solution

The third proportional to 890,286 and 1,886,511 is: 3,997,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,286 : 1,886,511 = 1,886,511 : x
  2. Step 2: Convert to fraction form
    890,286/1,886,511 = 1,886,511/x
  3. Step 3: Cross multiply
    890,286x = 1,886,511 × 1,886,511
  4. Step 4: Simplify right side
    890,286x = 3,558,923,753,121
  5. Step 5: Solve for x
    x = 3,558,923,753,121/890,286
  6. Step 6: Final answer
    x = 3,997,506.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.