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Finding the Third Proportional to 2,243,409 and 4,892,829

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Solution

The third proportional to 2,243,409 and 4,892,829 is: 10,671,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,409 : 4,892,829 = 4,892,829 : x
  2. Step 2: Convert to fraction form
    2,243,409/4,892,829 = 4,892,829/x
  3. Step 3: Cross multiply
    2,243,409x = 4,892,829 × 4,892,829
  4. Step 4: Simplify right side
    2,243,409x = 23,939,775,623,241
  5. Step 5: Solve for x
    x = 23,939,775,623,241/2,243,409
  6. Step 6: Final answer
    x = 10,671,159.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.