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Finding the Third Proportional to 477,186 and 1,029,132

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Solution

The third proportional to 477,186 and 1,029,132 is: 2,219,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,186 : 1,029,132 = 1,029,132 : x
  2. Step 2: Convert to fraction form
    477,186/1,029,132 = 1,029,132/x
  3. Step 3: Cross multiply
    477,186x = 1,029,132 × 1,029,132
  4. Step 4: Simplify right side
    477,186x = 1,059,112,673,424
  5. Step 5: Solve for x
    x = 1,059,112,673,424/477,186
  6. Step 6: Final answer
    x = 2,219,496.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.