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Finding the Third Proportional to 2,103,408 and 4,604,850

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Solution

The third proportional to 2,103,408 and 4,604,850 is: 10,081,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,408 : 4,604,850 = 4,604,850 : x
  2. Step 2: Convert to fraction form
    2,103,408/4,604,850 = 4,604,850/x
  3. Step 3: Cross multiply
    2,103,408x = 4,604,850 × 4,604,850
  4. Step 4: Simplify right side
    2,103,408x = 21,204,643,522,500
  5. Step 5: Solve for x
    x = 21,204,643,522,500/2,103,408
  6. Step 6: Final answer
    x = 10,081,089.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.