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Finding the Third Proportional to 471,444 and 1,018,200

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Solution

The third proportional to 471,444 and 1,018,200 is: 2,199,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,444 : 1,018,200 = 1,018,200 : x
  2. Step 2: Convert to fraction form
    471,444/1,018,200 = 1,018,200/x
  3. Step 3: Cross multiply
    471,444x = 1,018,200 × 1,018,200
  4. Step 4: Simplify right side
    471,444x = 1,036,731,240,000
  5. Step 5: Solve for x
    x = 1,036,731,240,000/471,444
  6. Step 6: Final answer
    x = 2,199,054.90

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