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Finding the Third Proportional to 471,773 and 1,018,660

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Solution

The third proportional to 471,773 and 1,018,660 is: 2,199,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,773 : 1,018,660 = 1,018,660 : x
  2. Step 2: Convert to fraction form
    471,773/1,018,660 = 1,018,660/x
  3. Step 3: Cross multiply
    471,773x = 1,018,660 × 1,018,660
  4. Step 4: Simplify right side
    471,773x = 1,037,668,195,600
  5. Step 5: Solve for x
    x = 1,037,668,195,600/471,773
  6. Step 6: Final answer
    x = 2,199,507.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.