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Finding the Third Proportional to 806,136 and 1,757,424

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Solution

The third proportional to 806,136 and 1,757,424 is: 3,831,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,136 : 1,757,424 = 1,757,424 : x
  2. Step 2: Convert to fraction form
    806,136/1,757,424 = 1,757,424/x
  3. Step 3: Cross multiply
    806,136x = 1,757,424 × 1,757,424
  4. Step 4: Simplify right side
    806,136x = 3,088,539,115,776
  5. Step 5: Solve for x
    x = 3,088,539,115,776/806,136
  6. Step 6: Final answer
    x = 3,831,287.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.