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Finding the Third Proportional to 624,672 and 1,369,728

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Solution

The third proportional to 624,672 and 1,369,728 is: 3,003,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,672 : 1,369,728 = 1,369,728 : x
  2. Step 2: Convert to fraction form
    624,672/1,369,728 = 1,369,728/x
  3. Step 3: Cross multiply
    624,672x = 1,369,728 × 1,369,728
  4. Step 4: Simplify right side
    624,672x = 1,876,154,793,984
  5. Step 5: Solve for x
    x = 1,876,154,793,984/624,672
  6. Step 6: Final answer
    x = 3,003,423.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.