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Finding the Third Proportional to 4,573,257 and 6,733,538

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Solution

The third proportional to 4,573,257 and 6,733,538 is: 9,914,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573,257 : 6,733,538 = 6,733,538 : x
  2. Step 2: Convert to fraction form
    4,573,257/6,733,538 = 6,733,538/x
  3. Step 3: Cross multiply
    4,573,257x = 6,733,538 × 6,733,538
  4. Step 4: Simplify right side
    4,573,257x = 45,340,533,997,444
  5. Step 5: Solve for x
    x = 45,340,533,997,444/4,573,257
  6. Step 6: Final answer
    x = 9,914,276.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.