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Finding the Third Proportional to 602,536 and 1,285,136

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Solution

The third proportional to 602,536 and 1,285,136 is: 2,741,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,536 : 1,285,136 = 1,285,136 : x
  2. Step 2: Convert to fraction form
    602,536/1,285,136 = 1,285,136/x
  3. Step 3: Cross multiply
    602,536x = 1,285,136 × 1,285,136
  4. Step 4: Simplify right side
    602,536x = 1,651,574,538,496
  5. Step 5: Solve for x
    x = 1,651,574,538,496/602,536
  6. Step 6: Final answer
    x = 2,741,038.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.