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Finding the Third Proportional to 474,197 and 1,027,090

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Solution

The third proportional to 474,197 and 1,027,090 is: 2,224,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,197 : 1,027,090 = 1,027,090 : x
  2. Step 2: Convert to fraction form
    474,197/1,027,090 = 1,027,090/x
  3. Step 3: Cross multiply
    474,197x = 1,027,090 × 1,027,090
  4. Step 4: Simplify right side
    474,197x = 1,054,913,868,100
  5. Step 5: Solve for x
    x = 1,054,913,868,100/474,197
  6. Step 6: Final answer
    x = 2,224,632.10

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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.