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Finding the Third Proportional to 1,465,508 and 2,326,137

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Solution

The third proportional to 1,465,508 and 2,326,137 is: 3,692,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,508 : 2,326,137 = 2,326,137 : x
  2. Step 2: Convert to fraction form
    1,465,508/2,326,137 = 2,326,137/x
  3. Step 3: Cross multiply
    1,465,508x = 2,326,137 × 2,326,137
  4. Step 4: Simplify right side
    1,465,508x = 5,410,913,342,769
  5. Step 5: Solve for x
    x = 5,410,913,342,769/1,465,508
  6. Step 6: Final answer
    x = 3,692,175.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.