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Finding the Third Proportional to 1,407,607.88 and 3,073,247.58

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Solution

The third proportional to 1,407,607.88 and 3,073,247.58 is: 6,709,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,607.88 : 3,073,247.58 = 3,073,247.58 : x
  2. Step 2: Convert to fraction form
    1,407,607.88/3,073,247.58 = 3,073,247.58/x
  3. Step 3: Cross multiply
    1,407,607.88x = 3,073,247.58 × 3,073,247.58
  4. Step 4: Simplify right side
    1,407,607.88x = 9,444,850,676,451.18
  5. Step 5: Solve for x
    x = 9,444,850,676,451.18/1,407,607.88
  6. Step 6: Final answer
    x = 6,709,859.22

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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.