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Finding the Third Proportional to 764,091 and 1,119,062.25

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Solution

The third proportional to 764,091 and 1,119,062.25 is: 1,638,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,091 : 1,119,062.25 = 1,119,062.25 : x
  2. Step 2: Convert to fraction form
    764,091/1,119,062.25 = 1,119,062.25/x
  3. Step 3: Cross multiply
    764,091x = 1,119,062.25 × 1,119,062.25
  4. Step 4: Simplify right side
    764,091x = 1,252,300,319,375.06
  5. Step 5: Solve for x
    x = 1,252,300,319,375.06/764,091
  6. Step 6: Final answer
    x = 1,638,941.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.