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Finding the Third Proportional to 478,720 and 1,037,223

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Solution

The third proportional to 478,720 and 1,037,223 is: 2,247,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,720 : 1,037,223 = 1,037,223 : x
  2. Step 2: Convert to fraction form
    478,720/1,037,223 = 1,037,223/x
  3. Step 3: Cross multiply
    478,720x = 1,037,223 × 1,037,223
  4. Step 4: Simplify right side
    478,720x = 1,075,831,551,729
  5. Step 5: Solve for x
    x = 1,075,831,551,729/478,720
  6. Step 6: Final answer
    x = 2,247,308.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.