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Finding the Third Proportional to 477,199 and 1,029,119.50

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Solution

The third proportional to 477,199 and 1,029,119.50 is: 2,219,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,199 : 1,029,119.50 = 1,029,119.50 : x
  2. Step 2: Convert to fraction form
    477,199/1,029,119.50 = 1,029,119.50/x
  3. Step 3: Cross multiply
    477,199x = 1,029,119.50 × 1,029,119.50
  4. Step 4: Simplify right side
    477,199x = 1,059,086,945,280.25
  5. Step 5: Solve for x
    x = 1,059,086,945,280.25/477,199
  6. Step 6: Final answer
    x = 2,219,382.16

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Why These Related Problems?

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