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Finding the Third Proportional to 610,909 and 1,340,037

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Solution

The third proportional to 610,909 and 1,340,037 is: 2,939,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,909 : 1,340,037 = 1,340,037 : x
  2. Step 2: Convert to fraction form
    610,909/1,340,037 = 1,340,037/x
  3. Step 3: Cross multiply
    610,909x = 1,340,037 × 1,340,037
  4. Step 4: Simplify right side
    610,909x = 1,795,699,161,369
  5. Step 5: Solve for x
    x = 1,795,699,161,369/610,909
  6. Step 6: Final answer
    x = 2,939,388.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.