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Finding the Third Proportional to 947,332 and 2,035,208

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Solution

The third proportional to 947,332 and 2,035,208 is: 4,372,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,332 : 2,035,208 = 2,035,208 : x
  2. Step 2: Convert to fraction form
    947,332/2,035,208 = 2,035,208/x
  3. Step 3: Cross multiply
    947,332x = 2,035,208 × 2,035,208
  4. Step 4: Simplify right side
    947,332x = 4,142,071,603,264
  5. Step 5: Solve for x
    x = 4,142,071,603,264/947,332
  6. Step 6: Final answer
    x = 4,372,354.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.