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Finding the Third Proportional to 884,011 and 1,309,441

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Solution

The third proportional to 884,011 and 1,309,441 is: 1,939,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,011 : 1,309,441 = 1,309,441 : x
  2. Step 2: Convert to fraction form
    884,011/1,309,441 = 1,309,441/x
  3. Step 3: Cross multiply
    884,011x = 1,309,441 × 1,309,441
  4. Step 4: Simplify right side
    884,011x = 1,714,635,732,481
  5. Step 5: Solve for x
    x = 1,714,635,732,481/884,011
  6. Step 6: Final answer
    x = 1,939,609.05

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.