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Finding the Third Proportional to 477,166 and 1,009,552

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Solution

The third proportional to 477,166 and 1,009,552 is: 2,135,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,166 : 1,009,552 = 1,009,552 : x
  2. Step 2: Convert to fraction form
    477,166/1,009,552 = 1,009,552/x
  3. Step 3: Cross multiply
    477,166x = 1,009,552 × 1,009,552
  4. Step 4: Simplify right side
    477,166x = 1,019,195,240,704
  5. Step 5: Solve for x
    x = 1,019,195,240,704/477,166
  6. Step 6: Final answer
    x = 2,135,934.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.