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Finding the Third Proportional to 1,225,137 and 2,595,746

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Solution

The third proportional to 1,225,137 and 2,595,746 is: 5,499,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,137 : 2,595,746 = 2,595,746 : x
  2. Step 2: Convert to fraction form
    1,225,137/2,595,746 = 2,595,746/x
  3. Step 3: Cross multiply
    1,225,137x = 2,595,746 × 2,595,746
  4. Step 4: Simplify right side
    1,225,137x = 6,737,897,296,516
  5. Step 5: Solve for x
    x = 6,737,897,296,516/1,225,137
  6. Step 6: Final answer
    x = 5,499,709.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.