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Finding the Third Proportional to 947,570 and 2,072,276

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Solution

The third proportional to 947,570 and 2,072,276 is: 4,531,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,570 : 2,072,276 = 2,072,276 : x
  2. Step 2: Convert to fraction form
    947,570/2,072,276 = 2,072,276/x
  3. Step 3: Cross multiply
    947,570x = 2,072,276 × 2,072,276
  4. Step 4: Simplify right side
    947,570x = 4,294,327,820,176
  5. Step 5: Solve for x
    x = 4,294,327,820,176/947,570
  6. Step 6: Final answer
    x = 4,531,937.29

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Why These Related Problems?

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