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Finding the Third Proportional to 1,203,696 and 1,829,184

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Solution

The third proportional to 1,203,696 and 1,829,184 is: 2,779,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,696 : 1,829,184 = 1,829,184 : x
  2. Step 2: Convert to fraction form
    1,203,696/1,829,184 = 1,829,184/x
  3. Step 3: Cross multiply
    1,203,696x = 1,829,184 × 1,829,184
  4. Step 4: Simplify right side
    1,203,696x = 3,345,914,105,856
  5. Step 5: Solve for x
    x = 3,345,914,105,856/1,203,696
  6. Step 6: Final answer
    x = 2,779,700.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.