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Finding the Third Proportional to 602,752 and 1,285,472

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Solution

The third proportional to 602,752 and 1,285,472 is: 2,741,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,752 : 1,285,472 = 1,285,472 : x
  2. Step 2: Convert to fraction form
    602,752/1,285,472 = 1,285,472/x
  3. Step 3: Cross multiply
    602,752x = 1,285,472 × 1,285,472
  4. Step 4: Simplify right side
    602,752x = 1,652,438,262,784
  5. Step 5: Solve for x
    x = 1,652,438,262,784/602,752
  6. Step 6: Final answer
    x = 2,741,489.47

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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.