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Finding the Third Proportional to 470,538 and 1,110,609

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Solution

The third proportional to 470,538 and 1,110,609 is: 2,621,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,538 : 1,110,609 = 1,110,609 : x
  2. Step 2: Convert to fraction form
    470,538/1,110,609 = 1,110,609/x
  3. Step 3: Cross multiply
    470,538x = 1,110,609 × 1,110,609
  4. Step 4: Simplify right side
    470,538x = 1,233,452,350,881
  5. Step 5: Solve for x
    x = 1,233,452,350,881/470,538
  6. Step 6: Final answer
    x = 2,621,366.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.