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Finding the Third Proportional to 750,007 and 1,642,463

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Solution

The third proportional to 750,007 and 1,642,463 is: 3,596,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,007 : 1,642,463 = 1,642,463 : x
  2. Step 2: Convert to fraction form
    750,007/1,642,463 = 1,642,463/x
  3. Step 3: Cross multiply
    750,007x = 1,642,463 × 1,642,463
  4. Step 4: Simplify right side
    750,007x = 2,697,684,706,369
  5. Step 5: Solve for x
    x = 2,697,684,706,369/750,007
  6. Step 6: Final answer
    x = 3,596,879.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.