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Finding the Third Proportional to 973,739 and 2,102,998

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Solution

The third proportional to 973,739 and 2,102,998 is: 4,541,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,739 : 2,102,998 = 2,102,998 : x
  2. Step 2: Convert to fraction form
    973,739/2,102,998 = 2,102,998/x
  3. Step 3: Cross multiply
    973,739x = 2,102,998 × 2,102,998
  4. Step 4: Simplify right side
    973,739x = 4,422,600,588,004
  5. Step 5: Solve for x
    x = 4,422,600,588,004/973,739
  6. Step 6: Final answer
    x = 4,541,874.76

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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.