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Finding the Third Proportional to 783,946 and 1,717,356

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Solution

The third proportional to 783,946 and 1,717,356 is: 3,762,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,946 : 1,717,356 = 1,717,356 : x
  2. Step 2: Convert to fraction form
    783,946/1,717,356 = 1,717,356/x
  3. Step 3: Cross multiply
    783,946x = 1,717,356 × 1,717,356
  4. Step 4: Simplify right side
    783,946x = 2,949,311,630,736
  5. Step 5: Solve for x
    x = 2,949,311,630,736/783,946
  6. Step 6: Final answer
    x = 3,762,136.21

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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.