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Finding the Third Proportional to 451,820 and 973,621

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Solution

The third proportional to 451,820 and 973,621 is: 2,098,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,820 : 973,621 = 973,621 : x
  2. Step 2: Convert to fraction form
    451,820/973,621 = 973,621/x
  3. Step 3: Cross multiply
    451,820x = 973,621 × 973,621
  4. Step 4: Simplify right side
    451,820x = 947,937,851,641
  5. Step 5: Solve for x
    x = 947,937,851,641/451,820
  6. Step 6: Final answer
    x = 2,098,043.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.