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Finding the Third Proportional to 630,078 and 1,365,132

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Solution

The third proportional to 630,078 and 1,365,132 is: 2,957,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,078 : 1,365,132 = 1,365,132 : x
  2. Step 2: Convert to fraction form
    630,078/1,365,132 = 1,365,132/x
  3. Step 3: Cross multiply
    630,078x = 1,365,132 × 1,365,132
  4. Step 4: Simplify right side
    630,078x = 1,863,585,377,424
  5. Step 5: Solve for x
    x = 1,863,585,377,424/630,078
  6. Step 6: Final answer
    x = 2,957,705.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.