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Finding the Third Proportional to 952,304 and 1,531,136

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Solution

The third proportional to 952,304 and 1,531,136 is: 2,461,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,304 : 1,531,136 = 1,531,136 : x
  2. Step 2: Convert to fraction form
    952,304/1,531,136 = 1,531,136/x
  3. Step 3: Cross multiply
    952,304x = 1,531,136 × 1,531,136
  4. Step 4: Simplify right side
    952,304x = 2,344,377,450,496
  5. Step 5: Solve for x
    x = 2,344,377,450,496/952,304
  6. Step 6: Final answer
    x = 2,461,795.24

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Why These Related Problems?

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