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Finding the Third Proportional to 648,794.81 and 998,603.44

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Solution

The third proportional to 648,794.81 and 998,603.44 is: 1,537,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,794.81 : 998,603.44 = 998,603.44 : x
  2. Step 2: Convert to fraction form
    648,794.81/998,603.44 = 998,603.44/x
  3. Step 3: Cross multiply
    648,794.81x = 998,603.44 × 998,603.44
  4. Step 4: Simplify right side
    648,794.81x = 997,208,825,386.82
  5. Step 5: Solve for x
    x = 997,208,825,386.82/648,794.81
  6. Step 6: Final answer
    x = 1,537,017.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.