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Finding the Third Proportional to 470,210 and 1,109,806

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Solution

The third proportional to 470,210 and 1,109,806 is: 2,619,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,210 : 1,109,806 = 1,109,806 : x
  2. Step 2: Convert to fraction form
    470,210/1,109,806 = 1,109,806/x
  3. Step 3: Cross multiply
    470,210x = 1,109,806 × 1,109,806
  4. Step 4: Simplify right side
    470,210x = 1,231,669,357,636
  5. Step 5: Solve for x
    x = 1,231,669,357,636/470,210
  6. Step 6: Final answer
    x = 2,619,402.73

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