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Finding the Third Proportional to 528,654 and 1,143,327

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Solution

The third proportional to 528,654 and 1,143,327 is: 2,472,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,654 : 1,143,327 = 1,143,327 : x
  2. Step 2: Convert to fraction form
    528,654/1,143,327 = 1,143,327/x
  3. Step 3: Cross multiply
    528,654x = 1,143,327 × 1,143,327
  4. Step 4: Simplify right side
    528,654x = 1,307,196,628,929
  5. Step 5: Solve for x
    x = 1,307,196,628,929/528,654
  6. Step 6: Final answer
    x = 2,472,688.43

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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.