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Finding the Third Proportional to 1,106,430 and 2,413,932

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Solution

The third proportional to 1,106,430 and 2,413,932 is: 5,266,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,430 : 2,413,932 = 2,413,932 : x
  2. Step 2: Convert to fraction form
    1,106,430/2,413,932 = 2,413,932/x
  3. Step 3: Cross multiply
    1,106,430x = 2,413,932 × 2,413,932
  4. Step 4: Simplify right side
    1,106,430x = 5,827,067,700,624
  5. Step 5: Solve for x
    x = 5,827,067,700,624/1,106,430
  6. Step 6: Final answer
    x = 5,266,548.90

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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.