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Finding the Third Proportional to 713,109 and 1,583,682

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Solution

The third proportional to 713,109 and 1,583,682 is: 3,517,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,109 : 1,583,682 = 1,583,682 : x
  2. Step 2: Convert to fraction form
    713,109/1,583,682 = 1,583,682/x
  3. Step 3: Cross multiply
    713,109x = 1,583,682 × 1,583,682
  4. Step 4: Simplify right side
    713,109x = 2,508,048,677,124
  5. Step 5: Solve for x
    x = 2,508,048,677,124/713,109
  6. Step 6: Final answer
    x = 3,517,062.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.