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Finding the Third Proportional to 993,394.13 and 2,145,538.13

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Solution

The third proportional to 993,394.13 and 2,145,538.13 is: 4,633,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,394.13 : 2,145,538.13 = 2,145,538.13 : x
  2. Step 2: Convert to fraction form
    993,394.13/2,145,538.13 = 2,145,538.13/x
  3. Step 3: Cross multiply
    993,394.13x = 2,145,538.13 × 2,145,538.13
  4. Step 4: Simplify right side
    993,394.13x = 4,603,333,845,828.52
  5. Step 5: Solve for x
    x = 4,603,333,845,828.52/993,394.13
  6. Step 6: Final answer
    x = 4,633,945.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.