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Finding the Third Proportional to 497,560 and 1,060,168

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Solution

The third proportional to 497,560 and 1,060,168 is: 2,258,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,560 : 1,060,168 = 1,060,168 : x
  2. Step 2: Convert to fraction form
    497,560/1,060,168 = 1,060,168/x
  3. Step 3: Cross multiply
    497,560x = 1,060,168 × 1,060,168
  4. Step 4: Simplify right side
    497,560x = 1,123,956,188,224
  5. Step 5: Solve for x
    x = 1,123,956,188,224/497,560
  6. Step 6: Final answer
    x = 2,258,935.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.