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Finding the Third Proportional to 844,461 and 1,309,536

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Solution

The third proportional to 844,461 and 1,309,536 is: 2,030,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,461 : 1,309,536 = 1,309,536 : x
  2. Step 2: Convert to fraction form
    844,461/1,309,536 = 1,309,536/x
  3. Step 3: Cross multiply
    844,461x = 1,309,536 × 1,309,536
  4. Step 4: Simplify right side
    844,461x = 1,714,884,535,296
  5. Step 5: Solve for x
    x = 1,714,884,535,296/844,461
  6. Step 6: Final answer
    x = 2,030,744.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.