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Finding the Third Proportional to 813,968 and 1,768,008

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Solution

The third proportional to 813,968 and 1,768,008 is: 3,840,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,968 : 1,768,008 = 1,768,008 : x
  2. Step 2: Convert to fraction form
    813,968/1,768,008 = 1,768,008/x
  3. Step 3: Cross multiply
    813,968x = 1,768,008 × 1,768,008
  4. Step 4: Simplify right side
    813,968x = 3,125,852,288,064
  5. Step 5: Solve for x
    x = 3,125,852,288,064/813,968
  6. Step 6: Final answer
    x = 3,840,264.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.