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Finding the Third Proportional to 835,412 and 1,345,136

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Solution

The third proportional to 835,412 and 1,345,136 is: 2,165,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,412 : 1,345,136 = 1,345,136 : x
  2. Step 2: Convert to fraction form
    835,412/1,345,136 = 1,345,136/x
  3. Step 3: Cross multiply
    835,412x = 1,345,136 × 1,345,136
  4. Step 4: Simplify right side
    835,412x = 1,809,390,858,496
  5. Step 5: Solve for x
    x = 1,809,390,858,496/835,412
  6. Step 6: Final answer
    x = 2,165,866.49

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.