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Finding the Third Proportional to 426,822 and 906,210

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Solution

The third proportional to 426,822 and 906,210 is: 1,924,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,822 : 906,210 = 906,210 : x
  2. Step 2: Convert to fraction form
    426,822/906,210 = 906,210/x
  3. Step 3: Cross multiply
    426,822x = 906,210 × 906,210
  4. Step 4: Simplify right side
    426,822x = 821,216,564,100
  5. Step 5: Solve for x
    x = 821,216,564,100/426,822
  6. Step 6: Final answer
    x = 1,924,025.86

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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.