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Finding the Third Proportional to 799,216 and 1,700,160

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Solution

The third proportional to 799,216 and 1,700,160 is: 3,616,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,216 : 1,700,160 = 1,700,160 : x
  2. Step 2: Convert to fraction form
    799,216/1,700,160 = 1,700,160/x
  3. Step 3: Cross multiply
    799,216x = 1,700,160 × 1,700,160
  4. Step 4: Simplify right side
    799,216x = 2,890,544,025,600
  5. Step 5: Solve for x
    x = 2,890,544,025,600/799,216
  6. Step 6: Final answer
    x = 3,616,724.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.