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Finding the Third Proportional to 472,878 and 1,050,732

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Solution

The third proportional to 472,878 and 1,050,732 is: 2,334,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,878 : 1,050,732 = 1,050,732 : x
  2. Step 2: Convert to fraction form
    472,878/1,050,732 = 1,050,732/x
  3. Step 3: Cross multiply
    472,878x = 1,050,732 × 1,050,732
  4. Step 4: Simplify right side
    472,878x = 1,104,037,735,824
  5. Step 5: Solve for x
    x = 1,104,037,735,824/472,878
  6. Step 6: Final answer
    x = 2,334,720.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.