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Finding the Third Proportional to 1,475,570 and 2,223,741

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Solution

The third proportional to 1,475,570 and 2,223,741 is: 3,351,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,570 : 2,223,741 = 2,223,741 : x
  2. Step 2: Convert to fraction form
    1,475,570/2,223,741 = 2,223,741/x
  3. Step 3: Cross multiply
    1,475,570x = 2,223,741 × 2,223,741
  4. Step 4: Simplify right side
    1,475,570x = 4,945,024,035,081
  5. Step 5: Solve for x
    x = 4,945,024,035,081/1,475,570
  6. Step 6: Final answer
    x = 3,351,263.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.