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Finding the Third Proportional to 756,898 and 1,135,459

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Solution

The third proportional to 756,898 and 1,135,459 is: 1,703,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,898 : 1,135,459 = 1,135,459 : x
  2. Step 2: Convert to fraction form
    756,898/1,135,459 = 1,135,459/x
  3. Step 3: Cross multiply
    756,898x = 1,135,459 × 1,135,459
  4. Step 4: Simplify right side
    756,898x = 1,289,267,140,681
  5. Step 5: Solve for x
    x = 1,289,267,140,681/756,898
  6. Step 6: Final answer
    x = 1,703,356.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.