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Finding the Third Proportional to 735,685 and 1,643,596

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Solution

The third proportional to 735,685 and 1,643,596 is: 3,671,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,685 : 1,643,596 = 1,643,596 : x
  2. Step 2: Convert to fraction form
    735,685/1,643,596 = 1,643,596/x
  3. Step 3: Cross multiply
    735,685x = 1,643,596 × 1,643,596
  4. Step 4: Simplify right side
    735,685x = 2,701,407,811,216
  5. Step 5: Solve for x
    x = 2,701,407,811,216/735,685
  6. Step 6: Final answer
    x = 3,671,962.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.