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Finding the Third Proportional to 985,104 and 2,138,346

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Solution

The third proportional to 985,104 and 2,138,346 is: 4,641,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,104 : 2,138,346 = 2,138,346 : x
  2. Step 2: Convert to fraction form
    985,104/2,138,346 = 2,138,346/x
  3. Step 3: Cross multiply
    985,104x = 2,138,346 × 2,138,346
  4. Step 4: Simplify right side
    985,104x = 4,572,523,615,716
  5. Step 5: Solve for x
    x = 4,572,523,615,716/985,104
  6. Step 6: Final answer
    x = 4,641,665.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.