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Finding the Third Proportional to 1,478,395.21 and 2,161,465.48

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Solution

The third proportional to 1,478,395.21 and 2,161,465.48 is: 3,160,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,395.21 : 2,161,465.48 = 2,161,465.48 : x
  2. Step 2: Convert to fraction form
    1,478,395.21/2,161,465.48 = 2,161,465.48/x
  3. Step 3: Cross multiply
    1,478,395.21x = 2,161,465.48 × 2,161,465.48
  4. Step 4: Simplify right side
    1,478,395.21x = 4,671,933,028,535.22
  5. Step 5: Solve for x
    x = 4,671,933,028,535.22/1,478,395.21
  6. Step 6: Final answer
    x = 3,160,138.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.