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Finding the Third Proportional to 2,433,026 and 3,557,091

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Solution

The third proportional to 2,433,026 and 3,557,091 is: 5,200,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,026 : 3,557,091 = 3,557,091 : x
  2. Step 2: Convert to fraction form
    2,433,026/3,557,091 = 3,557,091/x
  3. Step 3: Cross multiply
    2,433,026x = 3,557,091 × 3,557,091
  4. Step 4: Simplify right side
    2,433,026x = 12,652,896,382,281
  5. Step 5: Solve for x
    x = 12,652,896,382,281/2,433,026
  6. Step 6: Final answer
    x = 5,200,477.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.