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Finding the Third Proportional to 2,832,102 and 4,355,660

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Solution

The third proportional to 2,832,102 and 4,355,660 is: 6,698,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832,102 : 4,355,660 = 4,355,660 : x
  2. Step 2: Convert to fraction form
    2,832,102/4,355,660 = 4,355,660/x
  3. Step 3: Cross multiply
    2,832,102x = 4,355,660 × 4,355,660
  4. Step 4: Simplify right side
    2,832,102x = 18,971,774,035,600
  5. Step 5: Solve for x
    x = 18,971,774,035,600/2,832,102
  6. Step 6: Final answer
    x = 6,698,831.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.