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Finding the Third Proportional to 410,489 and 882,106

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Solution

The third proportional to 410,489 and 882,106 is: 1,895,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,489 : 882,106 = 882,106 : x
  2. Step 2: Convert to fraction form
    410,489/882,106 = 882,106/x
  3. Step 3: Cross multiply
    410,489x = 882,106 × 882,106
  4. Step 4: Simplify right side
    410,489x = 778,110,995,236
  5. Step 5: Solve for x
    x = 778,110,995,236/410,489
  6. Step 6: Final answer
    x = 1,895,570.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.