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Finding the Third Proportional to 3,205,402 and 4,583,408

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Solution

The third proportional to 3,205,402 and 4,583,408 is: 6,553,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,402 : 4,583,408 = 4,583,408 : x
  2. Step 2: Convert to fraction form
    3,205,402/4,583,408 = 4,583,408/x
  3. Step 3: Cross multiply
    3,205,402x = 4,583,408 × 4,583,408
  4. Step 4: Simplify right side
    3,205,402x = 21,007,628,894,464
  5. Step 5: Solve for x
    x = 21,007,628,894,464/3,205,402
  6. Step 6: Final answer
    x = 6,553,820.36

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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.