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Finding the Third Proportional to 464,036 and 1,013,296

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Solution

The third proportional to 464,036 and 1,013,296 is: 2,212,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,036 : 1,013,296 = 1,013,296 : x
  2. Step 2: Convert to fraction form
    464,036/1,013,296 = 1,013,296/x
  3. Step 3: Cross multiply
    464,036x = 1,013,296 × 1,013,296
  4. Step 4: Simplify right side
    464,036x = 1,026,768,783,616
  5. Step 5: Solve for x
    x = 1,026,768,783,616/464,036
  6. Step 6: Final answer
    x = 2,212,692.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.