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Finding the Third Proportional to 1,749,385 and 3,638,430

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Solution

The third proportional to 1,749,385 and 3,638,430 is: 7,567,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,385 : 3,638,430 = 3,638,430 : x
  2. Step 2: Convert to fraction form
    1,749,385/3,638,430 = 3,638,430/x
  3. Step 3: Cross multiply
    1,749,385x = 3,638,430 × 3,638,430
  4. Step 4: Simplify right side
    1,749,385x = 13,238,172,864,900
  5. Step 5: Solve for x
    x = 13,238,172,864,900/1,749,385
  6. Step 6: Final answer
    x = 7,567,329.58

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.