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Finding the Third Proportional to 1,715,433 and 3,658,863

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Solution

The third proportional to 1,715,433 and 3,658,863 is: 7,804,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715,433 : 3,658,863 = 3,658,863 : x
  2. Step 2: Convert to fraction form
    1,715,433/3,658,863 = 3,658,863/x
  3. Step 3: Cross multiply
    1,715,433x = 3,658,863 × 3,658,863
  4. Step 4: Simplify right side
    1,715,433x = 13,387,278,452,769
  5. Step 5: Solve for x
    x = 13,387,278,452,769/1,715,433
  6. Step 6: Final answer
    x = 7,804,022.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.