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Finding the Third Proportional to 744,088 and 1,615,022

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Solution

The third proportional to 744,088 and 1,615,022 is: 3,505,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,088 : 1,615,022 = 1,615,022 : x
  2. Step 2: Convert to fraction form
    744,088/1,615,022 = 1,615,022/x
  3. Step 3: Cross multiply
    744,088x = 1,615,022 × 1,615,022
  4. Step 4: Simplify right side
    744,088x = 2,608,296,060,484
  5. Step 5: Solve for x
    x = 2,608,296,060,484/744,088
  6. Step 6: Final answer
    x = 3,505,359.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.