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Finding the Third Proportional to 595,752 and 1,296,336

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Solution

The third proportional to 595,752 and 1,296,336 is: 2,820,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,752 : 1,296,336 = 1,296,336 : x
  2. Step 2: Convert to fraction form
    595,752/1,296,336 = 1,296,336/x
  3. Step 3: Cross multiply
    595,752x = 1,296,336 × 1,296,336
  4. Step 4: Simplify right side
    595,752x = 1,680,487,024,896
  5. Step 5: Solve for x
    x = 1,680,487,024,896/595,752
  6. Step 6: Final answer
    x = 2,820,782.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.