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Finding the Third Proportional to 473,077 and 1,024,895

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Solution

The third proportional to 473,077 and 1,024,895 is: 2,220,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,077 : 1,024,895 = 1,024,895 : x
  2. Step 2: Convert to fraction form
    473,077/1,024,895 = 1,024,895/x
  3. Step 3: Cross multiply
    473,077x = 1,024,895 × 1,024,895
  4. Step 4: Simplify right side
    473,077x = 1,050,409,761,025
  5. Step 5: Solve for x
    x = 1,050,409,761,025/473,077
  6. Step 6: Final answer
    x = 2,220,378.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.