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Finding the Third Proportional to 529,124 and 1,248,814

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Solution

The third proportional to 529,124 and 1,248,814 is: 2,947,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,124 : 1,248,814 = 1,248,814 : x
  2. Step 2: Convert to fraction form
    529,124/1,248,814 = 1,248,814/x
  3. Step 3: Cross multiply
    529,124x = 1,248,814 × 1,248,814
  4. Step 4: Simplify right side
    529,124x = 1,559,536,406,596
  5. Step 5: Solve for x
    x = 1,559,536,406,596/529,124
  6. Step 6: Final answer
    x = 2,947,393.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.