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Finding the Third Proportional to 634,480 and 1,373,504

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Solution

The third proportional to 634,480 and 1,373,504 is: 2,973,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,480 : 1,373,504 = 1,373,504 : x
  2. Step 2: Convert to fraction form
    634,480/1,373,504 = 1,373,504/x
  3. Step 3: Cross multiply
    634,480x = 1,373,504 × 1,373,504
  4. Step 4: Simplify right side
    634,480x = 1,886,513,238,016
  5. Step 5: Solve for x
    x = 1,886,513,238,016/634,480
  6. Step 6: Final answer
    x = 2,973,321.84

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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.