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Finding the Third Proportional to 816,509 and 1,773,228

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Solution

The third proportional to 816,509 and 1,773,228 is: 3,850,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,509 : 1,773,228 = 1,773,228 : x
  2. Step 2: Convert to fraction form
    816,509/1,773,228 = 1,773,228/x
  3. Step 3: Cross multiply
    816,509x = 1,773,228 × 1,773,228
  4. Step 4: Simplify right side
    816,509x = 3,144,337,539,984
  5. Step 5: Solve for x
    x = 3,144,337,539,984/816,509
  6. Step 6: Final answer
    x = 3,850,952.70

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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.