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Finding the Third Proportional to 780,920 and 1,583,570

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Solution

The third proportional to 780,920 and 1,583,570 is: 3,211,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,920 : 1,583,570 = 1,583,570 : x
  2. Step 2: Convert to fraction form
    780,920/1,583,570 = 1,583,570/x
  3. Step 3: Cross multiply
    780,920x = 1,583,570 × 1,583,570
  4. Step 4: Simplify right side
    780,920x = 2,507,693,944,900
  5. Step 5: Solve for x
    x = 2,507,693,944,900/780,920
  6. Step 6: Final answer
    x = 3,211,204.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.