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Finding the Third Proportional to 1,010,570 and 2,161,164

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Solution

The third proportional to 1,010,570 and 2,161,164 is: 4,621,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,570 : 2,161,164 = 2,161,164 : x
  2. Step 2: Convert to fraction form
    1,010,570/2,161,164 = 2,161,164/x
  3. Step 3: Cross multiply
    1,010,570x = 2,161,164 × 2,161,164
  4. Step 4: Simplify right side
    1,010,570x = 4,670,629,834,896
  5. Step 5: Solve for x
    x = 4,670,629,834,896/1,010,570
  6. Step 6: Final answer
    x = 4,621,777.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.