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Finding the Third Proportional to 4,841,596 and 6,785,380

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Solution

The third proportional to 4,841,596 and 6,785,380 is: 9,509,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841,596 : 6,785,380 = 6,785,380 : x
  2. Step 2: Convert to fraction form
    4,841,596/6,785,380 = 6,785,380/x
  3. Step 3: Cross multiply
    4,841,596x = 6,785,380 × 6,785,380
  4. Step 4: Simplify right side
    4,841,596x = 46,041,381,744,400
  5. Step 5: Solve for x
    x = 46,041,381,744,400/4,841,596
  6. Step 6: Final answer
    x = 9,509,546.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.