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Finding the Third Proportional to 477,684 and 1,047,222

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Solution

The third proportional to 477,684 and 1,047,222 is: 2,295,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,684 : 1,047,222 = 1,047,222 : x
  2. Step 2: Convert to fraction form
    477,684/1,047,222 = 1,047,222/x
  3. Step 3: Cross multiply
    477,684x = 1,047,222 × 1,047,222
  4. Step 4: Simplify right side
    477,684x = 1,096,673,917,284
  5. Step 5: Solve for x
    x = 1,096,673,917,284/477,684
  6. Step 6: Final answer
    x = 2,295,814.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.