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Finding the Third Proportional to 1,660,208 and 2,564,024

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Solution

The third proportional to 1,660,208 and 2,564,024 is: 3,959,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660,208 : 2,564,024 = 2,564,024 : x
  2. Step 2: Convert to fraction form
    1,660,208/2,564,024 = 2,564,024/x
  3. Step 3: Cross multiply
    1,660,208x = 2,564,024 × 2,564,024
  4. Step 4: Simplify right side
    1,660,208x = 6,574,219,072,576
  5. Step 5: Solve for x
    x = 6,574,219,072,576/1,660,208
  6. Step 6: Final answer
    x = 3,959,876.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.