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Finding the Third Proportional to 3,478,261.18 and 4,573,896.93

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Solution

The third proportional to 3,478,261.18 and 4,573,896.93 is: 6,014,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,261.18 : 4,573,896.93 = 4,573,896.93 : x
  2. Step 2: Convert to fraction form
    3,478,261.18/4,573,896.93 = 4,573,896.93/x
  3. Step 3: Cross multiply
    3,478,261.18x = 4,573,896.93 × 4,573,896.93
  4. Step 4: Simplify right side
    3,478,261.18x = 20,920,533,087,672.54
  5. Step 5: Solve for x
    x = 20,920,533,087,672.54/3,478,261.18
  6. Step 6: Final answer
    x = 6,014,652.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.