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Finding the Third Proportional to 1,005,400 and 2,191,454

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Solution

The third proportional to 1,005,400 and 2,191,454 is: 4,776,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,400 : 2,191,454 = 2,191,454 : x
  2. Step 2: Convert to fraction form
    1,005,400/2,191,454 = 2,191,454/x
  3. Step 3: Cross multiply
    1,005,400x = 2,191,454 × 2,191,454
  4. Step 4: Simplify right side
    1,005,400x = 4,802,470,634,116
  5. Step 5: Solve for x
    x = 4,802,470,634,116/1,005,400
  6. Step 6: Final answer
    x = 4,776,676.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.