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Finding the Third Proportional to 528,664 and 1,143,348

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Solution

The third proportional to 528,664 and 1,143,348 is: 2,472,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,664 : 1,143,348 = 1,143,348 : x
  2. Step 2: Convert to fraction form
    528,664/1,143,348 = 1,143,348/x
  3. Step 3: Cross multiply
    528,664x = 1,143,348 × 1,143,348
  4. Step 4: Simplify right side
    528,664x = 1,307,244,649,104
  5. Step 5: Solve for x
    x = 1,307,244,649,104/528,664
  6. Step 6: Final answer
    x = 2,472,732.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.