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Finding the Third Proportional to 1,684,509 and 3,652,758

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Solution

The third proportional to 1,684,509 and 3,652,758 is: 7,920,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,509 : 3,652,758 = 3,652,758 : x
  2. Step 2: Convert to fraction form
    1,684,509/3,652,758 = 3,652,758/x
  3. Step 3: Cross multiply
    1,684,509x = 3,652,758 × 3,652,758
  4. Step 4: Simplify right side
    1,684,509x = 13,342,641,006,564
  5. Step 5: Solve for x
    x = 13,342,641,006,564/1,684,509
  6. Step 6: Final answer
    x = 7,920,789.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.