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Finding the Third Proportional to 608,911 and 1,377,207

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Solution

The third proportional to 608,911 and 1,377,207 is: 3,114,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,911 : 1,377,207 = 1,377,207 : x
  2. Step 2: Convert to fraction form
    608,911/1,377,207 = 1,377,207/x
  3. Step 3: Cross multiply
    608,911x = 1,377,207 × 1,377,207
  4. Step 4: Simplify right side
    608,911x = 1,896,699,120,849
  5. Step 5: Solve for x
    x = 1,896,699,120,849/608,911
  6. Step 6: Final answer
    x = 3,114,903.69

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.