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Finding the Third Proportional to 783,681 and 1,600,570

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Solution

The third proportional to 783,681 and 1,600,570 is: 3,268,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,681 : 1,600,570 = 1,600,570 : x
  2. Step 2: Convert to fraction form
    783,681/1,600,570 = 1,600,570/x
  3. Step 3: Cross multiply
    783,681x = 1,600,570 × 1,600,570
  4. Step 4: Simplify right side
    783,681x = 2,561,824,324,900
  5. Step 5: Solve for x
    x = 2,561,824,324,900/783,681
  6. Step 6: Final answer
    x = 3,268,963.17

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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.