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Finding the Third Proportional to 2,425,203 and 3,804,423

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Solution

The third proportional to 2,425,203 and 3,804,423 is: 5,968,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,203 : 3,804,423 = 3,804,423 : x
  2. Step 2: Convert to fraction form
    2,425,203/3,804,423 = 3,804,423/x
  3. Step 3: Cross multiply
    2,425,203x = 3,804,423 × 3,804,423
  4. Step 4: Simplify right side
    2,425,203x = 14,473,634,362,929
  5. Step 5: Solve for x
    x = 14,473,634,362,929/2,425,203
  6. Step 6: Final answer
    x = 5,968,009.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.