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Finding the Third Proportional to 3,909,905 and 5,724,889

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Solution

The third proportional to 3,909,905 and 5,724,889 is: 8,382,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,905 : 5,724,889 = 5,724,889 : x
  2. Step 2: Convert to fraction form
    3,909,905/5,724,889 = 5,724,889/x
  3. Step 3: Cross multiply
    3,909,905x = 5,724,889 × 5,724,889
  4. Step 4: Simplify right side
    3,909,905x = 32,774,354,062,321
  5. Step 5: Solve for x
    x = 32,774,354,062,321/3,909,905
  6. Step 6: Final answer
    x = 8,382,391.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.