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Finding the Third Proportional to 618,946 and 1,312,410

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Solution

The third proportional to 618,946 and 1,312,410 is: 2,782,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,946 : 1,312,410 = 1,312,410 : x
  2. Step 2: Convert to fraction form
    618,946/1,312,410 = 1,312,410/x
  3. Step 3: Cross multiply
    618,946x = 1,312,410 × 1,312,410
  4. Step 4: Simplify right side
    618,946x = 1,722,420,008,100
  5. Step 5: Solve for x
    x = 1,722,420,008,100/618,946
  6. Step 6: Final answer
    x = 2,782,827.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.