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Finding the Third Proportional to 786,924 and 1,716,093

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Solution

The third proportional to 786,924 and 1,716,093 is: 3,742,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,924 : 1,716,093 = 1,716,093 : x
  2. Step 2: Convert to fraction form
    786,924/1,716,093 = 1,716,093/x
  3. Step 3: Cross multiply
    786,924x = 1,716,093 × 1,716,093
  4. Step 4: Simplify right side
    786,924x = 2,944,975,184,649
  5. Step 5: Solve for x
    x = 2,944,975,184,649/786,924
  6. Step 6: Final answer
    x = 3,742,388.32

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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.