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Finding the Third Proportional to 1,307,730 and 2,815,845

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Solution

The third proportional to 1,307,730 and 2,815,845 is: 6,063,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,730 : 2,815,845 = 2,815,845 : x
  2. Step 2: Convert to fraction form
    1,307,730/2,815,845 = 2,815,845/x
  3. Step 3: Cross multiply
    1,307,730x = 2,815,845 × 2,815,845
  4. Step 4: Simplify right side
    1,307,730x = 7,928,983,064,025
  5. Step 5: Solve for x
    x = 7,928,983,064,025/1,307,730
  6. Step 6: Final answer
    x = 6,063,165.23

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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.