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Finding the Third Proportional to 529,634 and 1,210,037

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Solution

The third proportional to 529,634 and 1,210,037 is: 2,764,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,634 : 1,210,037 = 1,210,037 : x
  2. Step 2: Convert to fraction form
    529,634/1,210,037 = 1,210,037/x
  3. Step 3: Cross multiply
    529,634x = 1,210,037 × 1,210,037
  4. Step 4: Simplify right side
    529,634x = 1,464,189,541,369
  5. Step 5: Solve for x
    x = 1,464,189,541,369/529,634
  6. Step 6: Final answer
    x = 2,764,530.87

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.