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Finding the Third Proportional to 688,950 and 1,477,554

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Solution

The third proportional to 688,950 and 1,477,554 is: 3,168,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,950 : 1,477,554 = 1,477,554 : x
  2. Step 2: Convert to fraction form
    688,950/1,477,554 = 1,477,554/x
  3. Step 3: Cross multiply
    688,950x = 1,477,554 × 1,477,554
  4. Step 4: Simplify right side
    688,950x = 2,183,165,822,916
  5. Step 5: Solve for x
    x = 2,183,165,822,916/688,950
  6. Step 6: Final answer
    x = 3,168,830.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.