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Finding the Third Proportional to 470,210 and 1,011,132

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Solution

The third proportional to 470,210 and 1,011,132 is: 2,174,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,210 : 1,011,132 = 1,011,132 : x
  2. Step 2: Convert to fraction form
    470,210/1,011,132 = 1,011,132/x
  3. Step 3: Cross multiply
    470,210x = 1,011,132 × 1,011,132
  4. Step 4: Simplify right side
    470,210x = 1,022,387,921,424
  5. Step 5: Solve for x
    x = 1,022,387,921,424/470,210
  6. Step 6: Final answer
    x = 2,174,321.94

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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.