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Finding the Third Proportional to 514,379 and 1,128,145

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Solution

The third proportional to 514,379 and 1,128,145 is: 2,474,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,379 : 1,128,145 = 1,128,145 : x
  2. Step 2: Convert to fraction form
    514,379/1,128,145 = 1,128,145/x
  3. Step 3: Cross multiply
    514,379x = 1,128,145 × 1,128,145
  4. Step 4: Simplify right side
    514,379x = 1,272,711,141,025
  5. Step 5: Solve for x
    x = 1,272,711,141,025/514,379
  6. Step 6: Final answer
    x = 2,474,267.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.