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Finding the Third Proportional to 624,078 and 1,370,196

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Solution

The third proportional to 624,078 and 1,370,196 is: 3,008,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,078 : 1,370,196 = 1,370,196 : x
  2. Step 2: Convert to fraction form
    624,078/1,370,196 = 1,370,196/x
  3. Step 3: Cross multiply
    624,078x = 1,370,196 × 1,370,196
  4. Step 4: Simplify right side
    624,078x = 1,877,437,078,416
  5. Step 5: Solve for x
    x = 1,877,437,078,416/624,078
  6. Step 6: Final answer
    x = 3,008,337.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.