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Finding the Third Proportional to 456,895.13 and 990,061.88

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Solution

The third proportional to 456,895.13 and 990,061.88 is: 2,145,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,895.13 : 990,061.88 = 990,061.88 : x
  2. Step 2: Convert to fraction form
    456,895.13/990,061.88 = 990,061.88/x
  3. Step 3: Cross multiply
    456,895.13x = 990,061.88 × 990,061.88
  4. Step 4: Simplify right side
    456,895.13x = 980,222,516,328.52
  5. Step 5: Solve for x
    x = 980,222,516,328.52/456,895.13
  6. Step 6: Final answer
    x = 2,145,399.38

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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.