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Finding the Third Proportional to 507,068.44 and 1,032,920.44

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Solution

The third proportional to 507,068.44 and 1,032,920.44 is: 2,104,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,068.44 : 1,032,920.44 = 1,032,920.44 : x
  2. Step 2: Convert to fraction form
    507,068.44/1,032,920.44 = 1,032,920.44/x
  3. Step 3: Cross multiply
    507,068.44x = 1,032,920.44 × 1,032,920.44
  4. Step 4: Simplify right side
    507,068.44x = 1,066,924,630,205.19
  5. Step 5: Solve for x
    x = 1,066,924,630,205.19/507,068.44
  6. Step 6: Final answer
    x = 2,104,103.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.