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Finding the Third Proportional to 1,715,428.13 and 3,658,851

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Solution

The third proportional to 1,715,428.13 and 3,658,851 is: 7,803,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715,428.13 : 3,658,851 = 3,658,851 : x
  2. Step 2: Convert to fraction form
    1,715,428.13/3,658,851 = 3,658,851/x
  3. Step 3: Cross multiply
    1,715,428.13x = 3,658,851 × 3,658,851
  4. Step 4: Simplify right side
    1,715,428.13x = 13,387,190,640,201
  5. Step 5: Solve for x
    x = 13,387,190,640,201/1,715,428.13
  6. Step 6: Final answer
    x = 7,803,993.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.