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Finding the Third Proportional to 947,570 and 2,072,282

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Solution

The third proportional to 947,570 and 2,072,282 is: 4,531,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,570 : 2,072,282 = 2,072,282 : x
  2. Step 2: Convert to fraction form
    947,570/2,072,282 = 2,072,282/x
  3. Step 3: Cross multiply
    947,570x = 2,072,282 × 2,072,282
  4. Step 4: Simplify right side
    947,570x = 4,294,352,687,524
  5. Step 5: Solve for x
    x = 4,294,352,687,524/947,570
  6. Step 6: Final answer
    x = 4,531,963.54

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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.