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Finding the Third Proportional to 660,269 and 1,447,111

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Solution

The third proportional to 660,269 and 1,447,111 is: 3,171,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,269 : 1,447,111 = 1,447,111 : x
  2. Step 2: Convert to fraction form
    660,269/1,447,111 = 1,447,111/x
  3. Step 3: Cross multiply
    660,269x = 1,447,111 × 1,447,111
  4. Step 4: Simplify right side
    660,269x = 2,094,130,246,321
  5. Step 5: Solve for x
    x = 2,094,130,246,321/660,269
  6. Step 6: Final answer
    x = 3,171,631.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.