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Finding the Third Proportional to 516,014 and 1,094,724

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Solution

The third proportional to 516,014 and 1,094,724 is: 2,322,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,014 : 1,094,724 = 1,094,724 : x
  2. Step 2: Convert to fraction form
    516,014/1,094,724 = 1,094,724/x
  3. Step 3: Cross multiply
    516,014x = 1,094,724 × 1,094,724
  4. Step 4: Simplify right side
    516,014x = 1,198,420,636,176
  5. Step 5: Solve for x
    x = 1,198,420,636,176/516,014
  6. Step 6: Final answer
    x = 2,322,457.60

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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.