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Finding the Third Proportional to 426,822 and 915,852

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Solution

The third proportional to 426,822 and 915,852 is: 1,965,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,822 : 915,852 = 915,852 : x
  2. Step 2: Convert to fraction form
    426,822/915,852 = 915,852/x
  3. Step 3: Cross multiply
    426,822x = 915,852 × 915,852
  4. Step 4: Simplify right side
    426,822x = 838,784,885,904
  5. Step 5: Solve for x
    x = 838,784,885,904/426,822
  6. Step 6: Final answer
    x = 1,965,186.63

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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.