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Finding the Third Proportional to 524,588 and 1,123,972

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Solution

The third proportional to 524,588 and 1,123,972 is: 2,408,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,588 : 1,123,972 = 1,123,972 : x
  2. Step 2: Convert to fraction form
    524,588/1,123,972 = 1,123,972/x
  3. Step 3: Cross multiply
    524,588x = 1,123,972 × 1,123,972
  4. Step 4: Simplify right side
    524,588x = 1,263,313,056,784
  5. Step 5: Solve for x
    x = 1,263,313,056,784/524,588
  6. Step 6: Final answer
    x = 2,408,200.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.