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Finding the Third Proportional to 634,407 and 1,373,356

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Solution

The third proportional to 634,407 and 1,373,356 is: 2,973,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,407 : 1,373,356 = 1,373,356 : x
  2. Step 2: Convert to fraction form
    634,407/1,373,356 = 1,373,356/x
  3. Step 3: Cross multiply
    634,407x = 1,373,356 × 1,373,356
  4. Step 4: Simplify right side
    634,407x = 1,886,106,702,736
  5. Step 5: Solve for x
    x = 1,886,106,702,736/634,407
  6. Step 6: Final answer
    x = 2,973,023.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.