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Finding the Third Proportional to 630,868.25 and 946,070.38

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Solution

The third proportional to 630,868.25 and 946,070.38 is: 1,418,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,868.25 : 946,070.38 = 946,070.38 : x
  2. Step 2: Convert to fraction form
    630,868.25/946,070.38 = 946,070.38/x
  3. Step 3: Cross multiply
    630,868.25x = 946,070.38 × 946,070.38
  4. Step 4: Simplify right side
    630,868.25x = 895,049,154,452.64
  5. Step 5: Solve for x
    x = 895,049,154,452.64/630,868.25
  6. Step 6: Final answer
    x = 1,418,757.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.