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Finding the Third Proportional to 1,407,377 and 3,088,777

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Solution

The third proportional to 1,407,377 and 3,088,777 is: 6,778,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,377 : 3,088,777 = 3,088,777 : x
  2. Step 2: Convert to fraction form
    1,407,377/3,088,777 = 3,088,777/x
  3. Step 3: Cross multiply
    1,407,377x = 3,088,777 × 3,088,777
  4. Step 4: Simplify right side
    1,407,377x = 9,540,543,355,729
  5. Step 5: Solve for x
    x = 9,540,543,355,729/1,407,377
  6. Step 6: Final answer
    x = 6,778,953.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.