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Finding the Third Proportional to 756,677 and 1,583,446

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Solution

The third proportional to 756,677 and 1,583,446 is: 3,313,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,677 : 1,583,446 = 1,583,446 : x
  2. Step 2: Convert to fraction form
    756,677/1,583,446 = 1,583,446/x
  3. Step 3: Cross multiply
    756,677x = 1,583,446 × 1,583,446
  4. Step 4: Simplify right side
    756,677x = 2,507,301,234,916
  5. Step 5: Solve for x
    x = 2,507,301,234,916/756,677
  6. Step 6: Final answer
    x = 3,313,568.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.