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Finding the Third Proportional to 1,545,854 and 2,453,133

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Solution

The third proportional to 1,545,854 and 2,453,133 is: 3,892,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545,854 : 2,453,133 = 2,453,133 : x
  2. Step 2: Convert to fraction form
    1,545,854/2,453,133 = 2,453,133/x
  3. Step 3: Cross multiply
    1,545,854x = 2,453,133 × 2,453,133
  4. Step 4: Simplify right side
    1,545,854x = 6,017,861,515,689
  5. Step 5: Solve for x
    x = 6,017,861,515,689/1,545,854
  6. Step 6: Final answer
    x = 3,892,904.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.