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Finding the Third Proportional to 841,782 and 1,841,028

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Solution

The third proportional to 841,782 and 1,841,028 is: 4,026,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,782 : 1,841,028 = 1,841,028 : x
  2. Step 2: Convert to fraction form
    841,782/1,841,028 = 1,841,028/x
  3. Step 3: Cross multiply
    841,782x = 1,841,028 × 1,841,028
  4. Step 4: Simplify right side
    841,782x = 3,389,384,096,784
  5. Step 5: Solve for x
    x = 3,389,384,096,784/841,782
  6. Step 6: Final answer
    x = 4,026,439.26

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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.