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Finding the Third Proportional to 869,616 and 1,201,621.50

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Solution

The third proportional to 869,616 and 1,201,621.50 is: 1,660,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,616 : 1,201,621.50 = 1,201,621.50 : x
  2. Step 2: Convert to fraction form
    869,616/1,201,621.50 = 1,201,621.50/x
  3. Step 3: Cross multiply
    869,616x = 1,201,621.50 × 1,201,621.50
  4. Step 4: Simplify right side
    869,616x = 1,443,894,229,262.25
  5. Step 5: Solve for x
    x = 1,443,894,229,262.25/869,616
  6. Step 6: Final answer
    x = 1,660,381.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.