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Finding the Third Proportional to 4,190,216 and 6,407,158

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Solution

The third proportional to 4,190,216 and 6,407,158 is: 9,797,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,216 : 6,407,158 = 6,407,158 : x
  2. Step 2: Convert to fraction form
    4,190,216/6,407,158 = 6,407,158/x
  3. Step 3: Cross multiply
    4,190,216x = 6,407,158 × 6,407,158
  4. Step 4: Simplify right side
    4,190,216x = 41,051,673,636,964
  5. Step 5: Solve for x
    x = 41,051,673,636,964/4,190,216
  6. Step 6: Final answer
    x = 9,797,030.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.