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Finding the Third Proportional to 634,636 and 1,334,720

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Solution

The third proportional to 634,636 and 1,334,720 is: 2,807,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,636 : 1,334,720 = 1,334,720 : x
  2. Step 2: Convert to fraction form
    634,636/1,334,720 = 1,334,720/x
  3. Step 3: Cross multiply
    634,636x = 1,334,720 × 1,334,720
  4. Step 4: Simplify right side
    634,636x = 1,781,477,478,400
  5. Step 5: Solve for x
    x = 1,781,477,478,400/634,636
  6. Step 6: Final answer
    x = 2,807,085.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.