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Finding the Third Proportional to 949,248 and 1,469,312

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Solution

The third proportional to 949,248 and 1,469,312 is: 2,274,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,248 : 1,469,312 = 1,469,312 : x
  2. Step 2: Convert to fraction form
    949,248/1,469,312 = 1,469,312/x
  3. Step 3: Cross multiply
    949,248x = 1,469,312 × 1,469,312
  4. Step 4: Simplify right side
    949,248x = 2,158,877,753,344
  5. Step 5: Solve for x
    x = 2,158,877,753,344/949,248
  6. Step 6: Final answer
    x = 2,274,303.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.