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Finding the Third Proportional to 1,462,109 and 3,260,402

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Solution

The third proportional to 1,462,109 and 3,260,402 is: 7,270,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,109 : 3,260,402 = 3,260,402 : x
  2. Step 2: Convert to fraction form
    1,462,109/3,260,402 = 3,260,402/x
  3. Step 3: Cross multiply
    1,462,109x = 3,260,402 × 3,260,402
  4. Step 4: Simplify right side
    1,462,109x = 10,630,221,201,604
  5. Step 5: Solve for x
    x = 10,630,221,201,604/1,462,109
  6. Step 6: Final answer
    x = 7,270,471.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.