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Finding the Third Proportional to 713,106 and 1,583,676

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Solution

The third proportional to 713,106 and 1,583,676 is: 3,517,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,106 : 1,583,676 = 1,583,676 : x
  2. Step 2: Convert to fraction form
    713,106/1,583,676 = 1,583,676/x
  3. Step 3: Cross multiply
    713,106x = 1,583,676 × 1,583,676
  4. Step 4: Simplify right side
    713,106x = 2,508,029,672,976
  5. Step 5: Solve for x
    x = 2,508,029,672,976/713,106
  6. Step 6: Final answer
    x = 3,517,050.30

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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.