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Finding the Third Proportional to 803,222 and 1,689,276

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Solution

The third proportional to 803,222 and 1,689,276 is: 3,552,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,222 : 1,689,276 = 1,689,276 : x
  2. Step 2: Convert to fraction form
    803,222/1,689,276 = 1,689,276/x
  3. Step 3: Cross multiply
    803,222x = 1,689,276 × 1,689,276
  4. Step 4: Simplify right side
    803,222x = 2,853,653,404,176
  5. Step 5: Solve for x
    x = 2,853,653,404,176/803,222
  6. Step 6: Final answer
    x = 3,552,758.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.