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Finding the Third Proportional to 463,575.66 and 977,794.03

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Solution

The third proportional to 463,575.66 and 977,794.03 is: 2,062,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,575.66 : 977,794.03 = 977,794.03 : x
  2. Step 2: Convert to fraction form
    463,575.66/977,794.03 = 977,794.03/x
  3. Step 3: Cross multiply
    463,575.66x = 977,794.03 × 977,794.03
  4. Step 4: Simplify right side
    463,575.66x = 956,081,167,548.13
  5. Step 5: Solve for x
    x = 956,081,167,548.13/463,575.66
  6. Step 6: Final answer
    x = 2,062,405.90

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.