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Finding the Third Proportional to 903,314 and 1,321,048

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Solution

The third proportional to 903,314 and 1,321,048 is: 1,931,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,314 : 1,321,048 = 1,321,048 : x
  2. Step 2: Convert to fraction form
    903,314/1,321,048 = 1,321,048/x
  3. Step 3: Cross multiply
    903,314x = 1,321,048 × 1,321,048
  4. Step 4: Simplify right side
    903,314x = 1,745,167,818,304
  5. Step 5: Solve for x
    x = 1,745,167,818,304/903,314
  6. Step 6: Final answer
    x = 1,931,961.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.