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Finding the Third Proportional to 1,749,983 and 2,353,786

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Solution

The third proportional to 1,749,983 and 2,353,786 is: 3,165,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,983 : 2,353,786 = 2,353,786 : x
  2. Step 2: Convert to fraction form
    1,749,983/2,353,786 = 2,353,786/x
  3. Step 3: Cross multiply
    1,749,983x = 2,353,786 × 2,353,786
  4. Step 4: Simplify right side
    1,749,983x = 5,540,308,533,796
  5. Step 5: Solve for x
    x = 5,540,308,533,796/1,749,983
  6. Step 6: Final answer
    x = 3,165,921.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.