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Finding the Third Proportional to 477,828 and 1,043,208

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Solution

The third proportional to 477,828 and 1,043,208 is: 2,277,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,828 : 1,043,208 = 1,043,208 : x
  2. Step 2: Convert to fraction form
    477,828/1,043,208 = 1,043,208/x
  3. Step 3: Cross multiply
    477,828x = 1,043,208 × 1,043,208
  4. Step 4: Simplify right side
    477,828x = 1,088,282,931,264
  5. Step 5: Solve for x
    x = 1,088,282,931,264/477,828
  6. Step 6: Final answer
    x = 2,277,562.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.