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Finding the Third Proportional to 446,942.81 and 977,442.19

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Solution

The third proportional to 446,942.81 and 977,442.19 is: 2,137,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,942.81 : 977,442.19 = 977,442.19 : x
  2. Step 2: Convert to fraction form
    446,942.81/977,442.19 = 977,442.19/x
  3. Step 3: Cross multiply
    446,942.81x = 977,442.19 × 977,442.19
  4. Step 4: Simplify right side
    446,942.81x = 955,393,229,904.79
  5. Step 5: Solve for x
    x = 955,393,229,904.79/446,942.81
  6. Step 6: Final answer
    x = 2,137,618.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.