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Finding the Third Proportional to 558,596 and 1,205,752

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Solution

The third proportional to 558,596 and 1,205,752 is: 2,602,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,596 : 1,205,752 = 1,205,752 : x
  2. Step 2: Convert to fraction form
    558,596/1,205,752 = 1,205,752/x
  3. Step 3: Cross multiply
    558,596x = 1,205,752 × 1,205,752
  4. Step 4: Simplify right side
    558,596x = 1,453,837,885,504
  5. Step 5: Solve for x
    x = 1,453,837,885,504/558,596
  6. Step 6: Final answer
    x = 2,602,664.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.