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Finding the Third Proportional to 1,749,243 and 2,698,584

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Solution

The third proportional to 1,749,243 and 2,698,584 is: 4,163,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,243 : 2,698,584 = 2,698,584 : x
  2. Step 2: Convert to fraction form
    1,749,243/2,698,584 = 2,698,584/x
  3. Step 3: Cross multiply
    1,749,243x = 2,698,584 × 2,698,584
  4. Step 4: Simplify right side
    1,749,243x = 7,282,355,605,056
  5. Step 5: Solve for x
    x = 7,282,355,605,056/1,749,243
  6. Step 6: Final answer
    x = 4,163,146.92

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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.