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Finding the Third Proportional to 471,904 and 1,037,120

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Solution

The third proportional to 471,904 and 1,037,120 is: 2,279,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,904 : 1,037,120 = 1,037,120 : x
  2. Step 2: Convert to fraction form
    471,904/1,037,120 = 1,037,120/x
  3. Step 3: Cross multiply
    471,904x = 1,037,120 × 1,037,120
  4. Step 4: Simplify right side
    471,904x = 1,075,617,894,400
  5. Step 5: Solve for x
    x = 1,075,617,894,400/471,904
  6. Step 6: Final answer
    x = 2,279,315.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.