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Finding the Third Proportional to 506,227 and 1,069,373

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Solution

The third proportional to 506,227 and 1,069,373 is: 2,258,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,227 : 1,069,373 = 1,069,373 : x
  2. Step 2: Convert to fraction form
    506,227/1,069,373 = 1,069,373/x
  3. Step 3: Cross multiply
    506,227x = 1,069,373 × 1,069,373
  4. Step 4: Simplify right side
    506,227x = 1,143,558,613,129
  5. Step 5: Solve for x
    x = 1,143,558,613,129/506,227
  6. Step 6: Final answer
    x = 2,258,983.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.