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Finding the Third Proportional to 528,384 and 1,153,344

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Solution

The third proportional to 528,384 and 1,153,344 is: 2,517,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,384 : 1,153,344 = 1,153,344 : x
  2. Step 2: Convert to fraction form
    528,384/1,153,344 = 1,153,344/x
  3. Step 3: Cross multiply
    528,384x = 1,153,344 × 1,153,344
  4. Step 4: Simplify right side
    528,384x = 1,330,202,382,336
  5. Step 5: Solve for x
    x = 1,330,202,382,336/528,384
  6. Step 6: Final answer
    x = 2,517,491.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.