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Finding the Third Proportional to 816,497 and 1,773,205

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Solution

The third proportional to 816,497 and 1,773,205 is: 3,850,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,497 : 1,773,205 = 1,773,205 : x
  2. Step 2: Convert to fraction form
    816,497/1,773,205 = 1,773,205/x
  3. Step 3: Cross multiply
    816,497x = 1,773,205 × 1,773,205
  4. Step 4: Simplify right side
    816,497x = 3,144,255,972,025
  5. Step 5: Solve for x
    x = 3,144,255,972,025/816,497
  6. Step 6: Final answer
    x = 3,850,909.40

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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.