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Finding the Third Proportional to 413,102 and 907,501

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Solution

The third proportional to 413,102 and 907,501 is: 1,993,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,102 : 907,501 = 907,501 : x
  2. Step 2: Convert to fraction form
    413,102/907,501 = 907,501/x
  3. Step 3: Cross multiply
    413,102x = 907,501 × 907,501
  4. Step 4: Simplify right side
    413,102x = 823,558,065,001
  5. Step 5: Solve for x
    x = 823,558,065,001/413,102
  6. Step 6: Final answer
    x = 1,993,594.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.