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Finding the Third Proportional to 611,037 and 1,342,440

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Solution

The third proportional to 611,037 and 1,342,440 is: 2,949,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,037 : 1,342,440 = 1,342,440 : x
  2. Step 2: Convert to fraction form
    611,037/1,342,440 = 1,342,440/x
  3. Step 3: Cross multiply
    611,037x = 1,342,440 × 1,342,440
  4. Step 4: Simplify right side
    611,037x = 1,802,145,153,600
  5. Step 5: Solve for x
    x = 1,802,145,153,600/611,037
  6. Step 6: Final answer
    x = 2,949,322.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.