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Finding the Third Proportional to 471,009 and 1,020,210

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Solution

The third proportional to 471,009 and 1,020,210 is: 2,209,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,009 : 1,020,210 = 1,020,210 : x
  2. Step 2: Convert to fraction form
    471,009/1,020,210 = 1,020,210/x
  3. Step 3: Cross multiply
    471,009x = 1,020,210 × 1,020,210
  4. Step 4: Simplify right side
    471,009x = 1,040,828,444,100
  5. Step 5: Solve for x
    x = 1,040,828,444,100/471,009
  6. Step 6: Final answer
    x = 2,209,784.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.