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Finding the Third Proportional to 993,240 and 1,537,638

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Solution

The third proportional to 993,240 and 1,537,638 is: 2,380,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,240 : 1,537,638 = 1,537,638 : x
  2. Step 2: Convert to fraction form
    993,240/1,537,638 = 1,537,638/x
  3. Step 3: Cross multiply
    993,240x = 1,537,638 × 1,537,638
  4. Step 4: Simplify right side
    993,240x = 2,364,330,619,044
  5. Step 5: Solve for x
    x = 2,364,330,619,044/993,240
  6. Step 6: Final answer
    x = 2,380,422.27

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Why These Related Problems?

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