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Finding the Third Proportional to 516,305 and 1,094,145

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Solution

The third proportional to 516,305 and 1,094,145 is: 2,318,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,305 : 1,094,145 = 1,094,145 : x
  2. Step 2: Convert to fraction form
    516,305/1,094,145 = 1,094,145/x
  3. Step 3: Cross multiply
    516,305x = 1,094,145 × 1,094,145
  4. Step 4: Simplify right side
    516,305x = 1,197,153,281,025
  5. Step 5: Solve for x
    x = 1,197,153,281,025/516,305
  6. Step 6: Final answer
    x = 2,318,693.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.