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Finding the Third Proportional to 1,638,255 and 2,564,313

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Solution

The third proportional to 1,638,255 and 2,564,313 is: 4,013,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,255 : 2,564,313 = 2,564,313 : x
  2. Step 2: Convert to fraction form
    1,638,255/2,564,313 = 2,564,313/x
  3. Step 3: Cross multiply
    1,638,255x = 2,564,313 × 2,564,313
  4. Step 4: Simplify right side
    1,638,255x = 6,575,701,161,969
  5. Step 5: Solve for x
    x = 6,575,701,161,969/1,638,255
  6. Step 6: Final answer
    x = 4,013,844.71

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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.