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Finding the Third Proportional to 780,548 and 1,622,328

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Solution

The third proportional to 780,548 and 1,622,328 is: 3,371,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,548 : 1,622,328 = 1,622,328 : x
  2. Step 2: Convert to fraction form
    780,548/1,622,328 = 1,622,328/x
  3. Step 3: Cross multiply
    780,548x = 1,622,328 × 1,622,328
  4. Step 4: Simplify right side
    780,548x = 2,631,948,139,584
  5. Step 5: Solve for x
    x = 2,631,948,139,584/780,548
  6. Step 6: Final answer
    x = 3,371,923.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.