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Finding the Third Proportional to 709,510 and 1,523,996

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Solution

The third proportional to 709,510 and 1,523,996 is: 3,273,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,510 : 1,523,996 = 1,523,996 : x
  2. Step 2: Convert to fraction form
    709,510/1,523,996 = 1,523,996/x
  3. Step 3: Cross multiply
    709,510x = 1,523,996 × 1,523,996
  4. Step 4: Simplify right side
    709,510x = 2,322,563,808,016
  5. Step 5: Solve for x
    x = 2,322,563,808,016/709,510
  6. Step 6: Final answer
    x = 3,273,475.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.