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Finding the Third Proportional to 1,725,473.50 and 3,629,381

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Solution

The third proportional to 1,725,473.50 and 3,629,381 is: 7,634,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,473.50 : 3,629,381 = 3,629,381 : x
  2. Step 2: Convert to fraction form
    1,725,473.50/3,629,381 = 3,629,381/x
  3. Step 3: Cross multiply
    1,725,473.50x = 3,629,381 × 3,629,381
  4. Step 4: Simplify right side
    1,725,473.50x = 13,172,406,443,161
  5. Step 5: Solve for x
    x = 13,172,406,443,161/1,725,473.50
  6. Step 6: Final answer
    x = 7,634,082.15

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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.