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Finding the Third Proportional to 726,312 and 1,540,008

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Solution

The third proportional to 726,312 and 1,540,008 is: 3,265,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,312 : 1,540,008 = 1,540,008 : x
  2. Step 2: Convert to fraction form
    726,312/1,540,008 = 1,540,008/x
  3. Step 3: Cross multiply
    726,312x = 1,540,008 × 1,540,008
  4. Step 4: Simplify right side
    726,312x = 2,371,624,640,064
  5. Step 5: Solve for x
    x = 2,371,624,640,064/726,312
  6. Step 6: Final answer
    x = 3,265,297.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.