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Finding the Third Proportional to 688,596 and 1,485,960

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Solution

The third proportional to 688,596 and 1,485,960 is: 3,206,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,596 : 1,485,960 = 1,485,960 : x
  2. Step 2: Convert to fraction form
    688,596/1,485,960 = 1,485,960/x
  3. Step 3: Cross multiply
    688,596x = 1,485,960 × 1,485,960
  4. Step 4: Simplify right side
    688,596x = 2,208,077,121,600
  5. Step 5: Solve for x
    x = 2,208,077,121,600/688,596
  6. Step 6: Final answer
    x = 3,206,636.58

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