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Finding the Third Proportional to 1,024,476.75 and 1,480,074.75

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Solution

The third proportional to 1,024,476.75 and 1,480,074.75 is: 2,138,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,476.75 : 1,480,074.75 = 1,480,074.75 : x
  2. Step 2: Convert to fraction form
    1,024,476.75/1,480,074.75 = 1,480,074.75/x
  3. Step 3: Cross multiply
    1,024,476.75x = 1,480,074.75 × 1,480,074.75
  4. Step 4: Simplify right side
    1,024,476.75x = 2,190,621,265,587.56
  5. Step 5: Solve for x
    x = 2,190,621,265,587.56/1,024,476.75
  6. Step 6: Final answer
    x = 2,138,283.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.