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Finding the Third Proportional to 993,242 and 1,537,641

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Solution

The third proportional to 993,242 and 1,537,641 is: 2,380,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,242 : 1,537,641 = 1,537,641 : x
  2. Step 2: Convert to fraction form
    993,242/1,537,641 = 1,537,641/x
  3. Step 3: Cross multiply
    993,242x = 1,537,641 × 1,537,641
  4. Step 4: Simplify right side
    993,242x = 2,364,339,844,881
  5. Step 5: Solve for x
    x = 2,364,339,844,881/993,242
  6. Step 6: Final answer
    x = 2,380,426.77

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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.