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Finding the Third Proportional to 654,210 and 1,408,644

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Solution

The third proportional to 654,210 and 1,408,644 is: 3,033,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,210 : 1,408,644 = 1,408,644 : x
  2. Step 2: Convert to fraction form
    654,210/1,408,644 = 1,408,644/x
  3. Step 3: Cross multiply
    654,210x = 1,408,644 × 1,408,644
  4. Step 4: Simplify right side
    654,210x = 1,984,277,918,736
  5. Step 5: Solve for x
    x = 1,984,277,918,736/654,210
  6. Step 6: Final answer
    x = 3,033,090.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.