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Finding the Third Proportional to 560,910 and 1,216,464

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Solution

The third proportional to 560,910 and 1,216,464 is: 2,638,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,910 : 1,216,464 = 1,216,464 : x
  2. Step 2: Convert to fraction form
    560,910/1,216,464 = 1,216,464/x
  3. Step 3: Cross multiply
    560,910x = 1,216,464 × 1,216,464
  4. Step 4: Simplify right side
    560,910x = 1,479,784,663,296
  5. Step 5: Solve for x
    x = 1,479,784,663,296/560,910
  6. Step 6: Final answer
    x = 2,638,185.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.