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Finding the Third Proportional to 917,043 and 2,157,764

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Solution

The third proportional to 917,043 and 2,157,764 is: 5,077,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,043 : 2,157,764 = 2,157,764 : x
  2. Step 2: Convert to fraction form
    917,043/2,157,764 = 2,157,764/x
  3. Step 3: Cross multiply
    917,043x = 2,157,764 × 2,157,764
  4. Step 4: Simplify right side
    917,043x = 4,655,945,479,696
  5. Step 5: Solve for x
    x = 4,655,945,479,696/917,043
  6. Step 6: Final answer
    x = 5,077,128.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.