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Finding the Third Proportional to 2,242,809 and 4,779,216

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Solution

The third proportional to 2,242,809 and 4,779,216 is: 10,184,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,809 : 4,779,216 = 4,779,216 : x
  2. Step 2: Convert to fraction form
    2,242,809/4,779,216 = 4,779,216/x
  3. Step 3: Cross multiply
    2,242,809x = 4,779,216 × 4,779,216
  4. Step 4: Simplify right side
    2,242,809x = 22,840,905,574,656
  5. Step 5: Solve for x
    x = 22,840,905,574,656/2,242,809
  6. Step 6: Final answer
    x = 10,184,061.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.