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Finding the Third Proportional to 889,856 and 1,905,817

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Solution

The third proportional to 889,856 and 1,905,817 is: 4,081,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,856 : 1,905,817 = 1,905,817 : x
  2. Step 2: Convert to fraction form
    889,856/1,905,817 = 1,905,817/x
  3. Step 3: Cross multiply
    889,856x = 1,905,817 × 1,905,817
  4. Step 4: Simplify right side
    889,856x = 3,632,138,437,489
  5. Step 5: Solve for x
    x = 3,632,138,437,489/889,856
  6. Step 6: Final answer
    x = 4,081,714.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.