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Finding the Third Proportional to 1,496,160 and 3,202,416

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Solution

The third proportional to 1,496,160 and 3,202,416 is: 6,854,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,160 : 3,202,416 = 3,202,416 : x
  2. Step 2: Convert to fraction form
    1,496,160/3,202,416 = 3,202,416/x
  3. Step 3: Cross multiply
    1,496,160x = 3,202,416 × 3,202,416
  4. Step 4: Simplify right side
    1,496,160x = 10,255,468,237,056
  5. Step 5: Solve for x
    x = 10,255,468,237,056/1,496,160
  6. Step 6: Final answer
    x = 6,854,526.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.