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Finding the Third Proportional to 812,574 and 1,750,023

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Solution

The third proportional to 812,574 and 1,750,023 is: 3,768,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,574 : 1,750,023 = 1,750,023 : x
  2. Step 2: Convert to fraction form
    812,574/1,750,023 = 1,750,023/x
  3. Step 3: Cross multiply
    812,574x = 1,750,023 × 1,750,023
  4. Step 4: Simplify right side
    812,574x = 3,062,580,500,529
  5. Step 5: Solve for x
    x = 3,062,580,500,529/812,574
  6. Step 6: Final answer
    x = 3,768,986.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.