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Finding the Third Proportional to 1,069,456 and 2,378,032

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Solution

The third proportional to 1,069,456 and 2,378,032 is: 5,287,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,456 : 2,378,032 = 2,378,032 : x
  2. Step 2: Convert to fraction form
    1,069,456/2,378,032 = 2,378,032/x
  3. Step 3: Cross multiply
    1,069,456x = 2,378,032 × 2,378,032
  4. Step 4: Simplify right side
    1,069,456x = 5,655,036,193,024
  5. Step 5: Solve for x
    x = 5,655,036,193,024/1,069,456
  6. Step 6: Final answer
    x = 5,287,768.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.