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Finding the Third Proportional to 426,175 and 918,769

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Solution

The third proportional to 426,175 and 918,769 is: 1,980,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,175 : 918,769 = 918,769 : x
  2. Step 2: Convert to fraction form
    426,175/918,769 = 918,769/x
  3. Step 3: Cross multiply
    426,175x = 918,769 × 918,769
  4. Step 4: Simplify right side
    426,175x = 844,136,475,361
  5. Step 5: Solve for x
    x = 844,136,475,361/426,175
  6. Step 6: Final answer
    x = 1,980,727.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.