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Finding the Third Proportional to 1,137,590 and 2,415,148

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Solution

The third proportional to 1,137,590 and 2,415,148 is: 5,127,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,590 : 2,415,148 = 2,415,148 : x
  2. Step 2: Convert to fraction form
    1,137,590/2,415,148 = 2,415,148/x
  3. Step 3: Cross multiply
    1,137,590x = 2,415,148 × 2,415,148
  4. Step 4: Simplify right side
    1,137,590x = 5,832,939,861,904
  5. Step 5: Solve for x
    x = 5,832,939,861,904/1,137,590
  6. Step 6: Final answer
    x = 5,127,453.53

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Why These Related Problems?

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