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Finding the Third Proportional to 4,146,840 and 6,491,133

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Solution

The third proportional to 4,146,840 and 6,491,133 is: 10,160,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,840 : 6,491,133 = 6,491,133 : x
  2. Step 2: Convert to fraction form
    4,146,840/6,491,133 = 6,491,133/x
  3. Step 3: Cross multiply
    4,146,840x = 6,491,133 × 6,491,133
  4. Step 4: Simplify right side
    4,146,840x = 42,134,807,623,689
  5. Step 5: Solve for x
    x = 42,134,807,623,689/4,146,840
  6. Step 6: Final answer
    x = 10,160,702.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.