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Finding the Third Proportional to 3,291,886 and 4,698,324

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Solution

The third proportional to 3,291,886 and 4,698,324 is: 6,705,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291,886 : 4,698,324 = 4,698,324 : x
  2. Step 2: Convert to fraction form
    3,291,886/4,698,324 = 4,698,324/x
  3. Step 3: Cross multiply
    3,291,886x = 4,698,324 × 4,698,324
  4. Step 4: Simplify right side
    3,291,886x = 22,074,248,408,976
  5. Step 5: Solve for x
    x = 22,074,248,408,976/3,291,886
  6. Step 6: Final answer
    x = 6,705,653.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.