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Finding the Third Proportional to 624,306 and 1,347,108

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Solution

The third proportional to 624,306 and 1,347,108 is: 2,906,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,306 : 1,347,108 = 1,347,108 : x
  2. Step 2: Convert to fraction form
    624,306/1,347,108 = 1,347,108/x
  3. Step 3: Cross multiply
    624,306x = 1,347,108 × 1,347,108
  4. Step 4: Simplify right side
    624,306x = 1,814,699,963,664
  5. Step 5: Solve for x
    x = 1,814,699,963,664/624,306
  6. Step 6: Final answer
    x = 2,906,747.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.