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Finding the Third Proportional to 750,427 and 1,640,982

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Solution

The third proportional to 750,427 and 1,640,982 is: 3,588,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,427 : 1,640,982 = 1,640,982 : x
  2. Step 2: Convert to fraction form
    750,427/1,640,982 = 1,640,982/x
  3. Step 3: Cross multiply
    750,427x = 1,640,982 × 1,640,982
  4. Step 4: Simplify right side
    750,427x = 2,692,821,924,324
  5. Step 5: Solve for x
    x = 2,692,821,924,324/750,427
  6. Step 6: Final answer
    x = 3,588,386.24

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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.