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Finding the Third Proportional to 3,079,314 and 4,435,614

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Solution

The third proportional to 3,079,314 and 4,435,614 is: 6,389,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079,314 : 4,435,614 = 4,435,614 : x
  2. Step 2: Convert to fraction form
    3,079,314/4,435,614 = 4,435,614/x
  3. Step 3: Cross multiply
    3,079,314x = 4,435,614 × 4,435,614
  4. Step 4: Simplify right side
    3,079,314x = 19,674,671,556,996
  5. Step 5: Solve for x
    x = 19,674,671,556,996/3,079,314
  6. Step 6: Final answer
    x = 6,389,303.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.