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Finding the Third Proportional to 1,615,389 and 3,524,160

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Solution

The third proportional to 1,615,389 and 3,524,160 is: 7,688,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,389 : 3,524,160 = 3,524,160 : x
  2. Step 2: Convert to fraction form
    1,615,389/3,524,160 = 3,524,160/x
  3. Step 3: Cross multiply
    1,615,389x = 3,524,160 × 3,524,160
  4. Step 4: Simplify right side
    1,615,389x = 12,419,703,705,600
  5. Step 5: Solve for x
    x = 12,419,703,705,600/1,615,389
  6. Step 6: Final answer
    x = 7,688,367.14

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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.