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Finding the Third Proportional to 514,153 and 1,107,254

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Solution

The third proportional to 514,153 and 1,107,254 is: 2,384,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,153 : 1,107,254 = 1,107,254 : x
  2. Step 2: Convert to fraction form
    514,153/1,107,254 = 1,107,254/x
  3. Step 3: Cross multiply
    514,153x = 1,107,254 × 1,107,254
  4. Step 4: Simplify right side
    514,153x = 1,226,011,420,516
  5. Step 5: Solve for x
    x = 1,226,011,420,516/514,153
  6. Step 6: Final answer
    x = 2,384,526.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.