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Finding the Third Proportional to 1,465,920 and 3,153,455

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Solution

The third proportional to 1,465,920 and 3,153,455 is: 6,783,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,920 : 3,153,455 = 3,153,455 : x
  2. Step 2: Convert to fraction form
    1,465,920/3,153,455 = 3,153,455/x
  3. Step 3: Cross multiply
    1,465,920x = 3,153,455 × 3,153,455
  4. Step 4: Simplify right side
    1,465,920x = 9,944,278,437,025
  5. Step 5: Solve for x
    x = 9,944,278,437,025/1,465,920
  6. Step 6: Final answer
    x = 6,783,643.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.