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Finding the Third Proportional to 3,430,103 and 4,703,421

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Solution

The third proportional to 3,430,103 and 4,703,421 is: 6,449,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,103 : 4,703,421 = 4,703,421 : x
  2. Step 2: Convert to fraction form
    3,430,103/4,703,421 = 4,703,421/x
  3. Step 3: Cross multiply
    3,430,103x = 4,703,421 × 4,703,421
  4. Step 4: Simplify right side
    3,430,103x = 22,122,169,103,241
  5. Step 5: Solve for x
    x = 22,122,169,103,241/3,430,103
  6. Step 6: Final answer
    x = 6,449,418.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.