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Finding the Third Proportional to 624,742 and 1,346,670

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Solution

The third proportional to 624,742 and 1,346,670 is: 2,902,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,742 : 1,346,670 = 1,346,670 : x
  2. Step 2: Convert to fraction form
    624,742/1,346,670 = 1,346,670/x
  3. Step 3: Cross multiply
    624,742x = 1,346,670 × 1,346,670
  4. Step 4: Simplify right side
    624,742x = 1,813,520,088,900
  5. Step 5: Solve for x
    x = 1,813,520,088,900/624,742
  6. Step 6: Final answer
    x = 2,902,830.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.