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Finding the Third Proportional to 947,520 and 2,072,160

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Solution

The third proportional to 947,520 and 2,072,160 is: 4,531,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,520 : 2,072,160 = 2,072,160 : x
  2. Step 2: Convert to fraction form
    947,520/2,072,160 = 2,072,160/x
  3. Step 3: Cross multiply
    947,520x = 2,072,160 × 2,072,160
  4. Step 4: Simplify right side
    947,520x = 4,293,847,065,600
  5. Step 5: Solve for x
    x = 4,293,847,065,600/947,520
  6. Step 6: Final answer
    x = 4,531,669.06

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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.