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Finding the Third Proportional to 493,528 and 1,057,136

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Solution

The third proportional to 493,528 and 1,057,136 is: 2,264,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,528 : 1,057,136 = 1,057,136 : x
  2. Step 2: Convert to fraction form
    493,528/1,057,136 = 1,057,136/x
  3. Step 3: Cross multiply
    493,528x = 1,057,136 × 1,057,136
  4. Step 4: Simplify right side
    493,528x = 1,117,536,522,496
  5. Step 5: Solve for x
    x = 1,117,536,522,496/493,528
  6. Step 6: Final answer
    x = 2,264,383.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.