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Finding the Third Proportional to 759,438 and 1,670,460

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Solution

The third proportional to 759,438 and 1,670,460 is: 3,674,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,438 : 1,670,460 = 1,670,460 : x
  2. Step 2: Convert to fraction form
    759,438/1,670,460 = 1,670,460/x
  3. Step 3: Cross multiply
    759,438x = 1,670,460 × 1,670,460
  4. Step 4: Simplify right side
    759,438x = 2,790,436,611,600
  5. Step 5: Solve for x
    x = 2,790,436,611,600/759,438
  6. Step 6: Final answer
    x = 3,674,344.20

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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.