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Finding the Third Proportional to 3,911,943 and 5,984,106

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Solution

The third proportional to 3,911,943 and 5,984,106 is: 9,153,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911,943 : 5,984,106 = 5,984,106 : x
  2. Step 2: Convert to fraction form
    3,911,943/5,984,106 = 5,984,106/x
  3. Step 3: Cross multiply
    3,911,943x = 5,984,106 × 5,984,106
  4. Step 4: Simplify right side
    3,911,943x = 35,809,524,619,236
  5. Step 5: Solve for x
    x = 35,809,524,619,236/3,911,943
  6. Step 6: Final answer
    x = 9,153,897.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.