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Finding the Third Proportional to 456,897 and 990,065.25

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Solution

The third proportional to 456,897 and 990,065.25 is: 2,145,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,897 : 990,065.25 = 990,065.25 : x
  2. Step 2: Convert to fraction form
    456,897/990,065.25 = 990,065.25/x
  3. Step 3: Cross multiply
    456,897x = 990,065.25 × 990,065.25
  4. Step 4: Simplify right side
    456,897x = 980,229,199,257.56
  5. Step 5: Solve for x
    x = 980,229,199,257.56/456,897
  6. Step 6: Final answer
    x = 2,145,405.20

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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.