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Finding the Third Proportional to 470,196 and 1,109,772

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Solution

The third proportional to 470,196 and 1,109,772 is: 2,619,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,196 : 1,109,772 = 1,109,772 : x
  2. Step 2: Convert to fraction form
    470,196/1,109,772 = 1,109,772/x
  3. Step 3: Cross multiply
    470,196x = 1,109,772 × 1,109,772
  4. Step 4: Simplify right side
    470,196x = 1,231,593,891,984
  5. Step 5: Solve for x
    x = 1,231,593,891,984/470,196
  6. Step 6: Final answer
    x = 2,619,320.22

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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.