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Finding the Third Proportional to 783,682 and 1,600,572

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Solution

The third proportional to 783,682 and 1,600,572 is: 3,268,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,682 : 1,600,572 = 1,600,572 : x
  2. Step 2: Convert to fraction form
    783,682/1,600,572 = 1,600,572/x
  3. Step 3: Cross multiply
    783,682x = 1,600,572 × 1,600,572
  4. Step 4: Simplify right side
    783,682x = 2,561,830,727,184
  5. Step 5: Solve for x
    x = 2,561,830,727,184/783,682
  6. Step 6: Final answer
    x = 3,268,967.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.