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Finding the Third Proportional to 783,936 and 1,717,340

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Solution

The third proportional to 783,936 and 1,717,340 is: 3,762,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,936 : 1,717,340 = 1,717,340 : x
  2. Step 2: Convert to fraction form
    783,936/1,717,340 = 1,717,340/x
  3. Step 3: Cross multiply
    783,936x = 1,717,340 × 1,717,340
  4. Step 4: Simplify right side
    783,936x = 2,949,256,675,600
  5. Step 5: Solve for x
    x = 2,949,256,675,600/783,936
  6. Step 6: Final answer
    x = 3,762,114.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.