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Finding the Third Proportional to 993,345 and 1,537,765

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Solution

The third proportional to 993,345 and 1,537,765 is: 2,380,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,345 : 1,537,765 = 1,537,765 : x
  2. Step 2: Convert to fraction form
    993,345/1,537,765 = 1,537,765/x
  3. Step 3: Cross multiply
    993,345x = 1,537,765 × 1,537,765
  4. Step 4: Simplify right side
    993,345x = 2,364,721,195,225
  5. Step 5: Solve for x
    x = 2,364,721,195,225/993,345
  6. Step 6: Final answer
    x = 2,380,563.85

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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.