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Finding the Third Proportional to 624,842 and 1,293,991

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Solution

The third proportional to 624,842 and 1,293,991 is: 2,679,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,842 : 1,293,991 = 1,293,991 : x
  2. Step 2: Convert to fraction form
    624,842/1,293,991 = 1,293,991/x
  3. Step 3: Cross multiply
    624,842x = 1,293,991 × 1,293,991
  4. Step 4: Simplify right side
    624,842x = 1,674,412,708,081
  5. Step 5: Solve for x
    x = 1,674,412,708,081/624,842
  6. Step 6: Final answer
    x = 2,679,737.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.