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Finding the Third Proportional to 3,615,840 and 5,470,416

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Solution

The third proportional to 3,615,840 and 5,470,416 is: 8,276,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,840 : 5,470,416 = 5,470,416 : x
  2. Step 2: Convert to fraction form
    3,615,840/5,470,416 = 5,470,416/x
  3. Step 3: Cross multiply
    3,615,840x = 5,470,416 × 5,470,416
  4. Step 4: Simplify right side
    3,615,840x = 29,925,451,213,056
  5. Step 5: Solve for x
    x = 29,925,451,213,056/3,615,840
  6. Step 6: Final answer
    x = 8,276,210.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.