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Finding the Third Proportional to 1,307,728 and 2,815,841

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Solution

The third proportional to 1,307,728 and 2,815,841 is: 6,063,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,728 : 2,815,841 = 2,815,841 : x
  2. Step 2: Convert to fraction form
    1,307,728/2,815,841 = 2,815,841/x
  3. Step 3: Cross multiply
    1,307,728x = 2,815,841 × 2,815,841
  4. Step 4: Simplify right side
    1,307,728x = 7,928,960,537,281
  5. Step 5: Solve for x
    x = 7,928,960,537,281/1,307,728
  6. Step 6: Final answer
    x = 6,063,157.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.