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Finding the Third Proportional to 822,093 and 1,291,417.50

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Solution

The third proportional to 822,093 and 1,291,417.50 is: 2,028,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,093 : 1,291,417.50 = 1,291,417.50 : x
  2. Step 2: Convert to fraction form
    822,093/1,291,417.50 = 1,291,417.50/x
  3. Step 3: Cross multiply
    822,093x = 1,291,417.50 × 1,291,417.50
  4. Step 4: Simplify right side
    822,093x = 1,667,759,159,306.25
  5. Step 5: Solve for x
    x = 1,667,759,159,306.25/822,093
  6. Step 6: Final answer
    x = 2,028,674.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.