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Finding the Third Proportional to 4,229,336 and 6,809,854

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Solution

The third proportional to 4,229,336 and 6,809,854 is: 10,964,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229,336 : 6,809,854 = 6,809,854 : x
  2. Step 2: Convert to fraction form
    4,229,336/6,809,854 = 6,809,854/x
  3. Step 3: Cross multiply
    4,229,336x = 6,809,854 × 6,809,854
  4. Step 4: Simplify right side
    4,229,336x = 46,374,111,501,316
  5. Step 5: Solve for x
    x = 46,374,111,501,316/4,229,336
  6. Step 6: Final answer
    x = 10,964,868.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.