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Finding the Third Proportional to 642,874 and 1,400,038

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Solution

The third proportional to 642,874 and 1,400,038 is: 3,048,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,874 : 1,400,038 = 1,400,038 : x
  2. Step 2: Convert to fraction form
    642,874/1,400,038 = 1,400,038/x
  3. Step 3: Cross multiply
    642,874x = 1,400,038 × 1,400,038
  4. Step 4: Simplify right side
    642,874x = 1,960,106,401,444
  5. Step 5: Solve for x
    x = 1,960,106,401,444/642,874
  6. Step 6: Final answer
    x = 3,048,974.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.