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Finding the Third Proportional to 1,465,932 and 3,153,480

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Solution

The third proportional to 1,465,932 and 3,153,480 is: 6,783,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,932 : 3,153,480 = 3,153,480 : x
  2. Step 2: Convert to fraction form
    1,465,932/3,153,480 = 3,153,480/x
  3. Step 3: Cross multiply
    1,465,932x = 3,153,480 × 3,153,480
  4. Step 4: Simplify right side
    1,465,932x = 9,944,436,110,400
  5. Step 5: Solve for x
    x = 9,944,436,110,400/1,465,932
  6. Step 6: Final answer
    x = 6,783,695.36

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Why These Related Problems?

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