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Finding the Third Proportional to 1,661,364 and 2,602,764

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Solution

The third proportional to 1,661,364 and 2,602,764 is: 4,077,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,364 : 2,602,764 = 2,602,764 : x
  2. Step 2: Convert to fraction form
    1,661,364/2,602,764 = 2,602,764/x
  3. Step 3: Cross multiply
    1,661,364x = 2,602,764 × 2,602,764
  4. Step 4: Simplify right side
    1,661,364x = 6,774,380,439,696
  5. Step 5: Solve for x
    x = 6,774,380,439,696/1,661,364
  6. Step 6: Final answer
    x = 4,077,601.56

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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.