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Finding the Third Proportional to 665,746 and 1,437,718

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Solution

The third proportional to 665,746 and 1,437,718 is: 3,104,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,746 : 1,437,718 = 1,437,718 : x
  2. Step 2: Convert to fraction form
    665,746/1,437,718 = 1,437,718/x
  3. Step 3: Cross multiply
    665,746x = 1,437,718 × 1,437,718
  4. Step 4: Simplify right side
    665,746x = 2,067,033,047,524
  5. Step 5: Solve for x
    x = 2,067,033,047,524/665,746
  6. Step 6: Final answer
    x = 3,104,837.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.