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Finding the Third Proportional to 1,749,936 and 2,502,408

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Solution

The third proportional to 1,749,936 and 2,502,408 is: 3,578,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,936 : 2,502,408 = 2,502,408 : x
  2. Step 2: Convert to fraction form
    1,749,936/2,502,408 = 2,502,408/x
  3. Step 3: Cross multiply
    1,749,936x = 2,502,408 × 2,502,408
  4. Step 4: Simplify right side
    1,749,936x = 6,262,045,798,464
  5. Step 5: Solve for x
    x = 6,262,045,798,464/1,749,936
  6. Step 6: Final answer
    x = 3,578,442.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.