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Finding the Third Proportional to 560,390 and 1,216,034

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Solution

The third proportional to 560,390 and 1,216,034 is: 2,638,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,390 : 1,216,034 = 1,216,034 : x
  2. Step 2: Convert to fraction form
    560,390/1,216,034 = 1,216,034/x
  3. Step 3: Cross multiply
    560,390x = 1,216,034 × 1,216,034
  4. Step 4: Simplify right side
    560,390x = 1,478,738,689,156
  5. Step 5: Solve for x
    x = 1,478,738,689,156/560,390
  6. Step 6: Final answer
    x = 2,638,767.09

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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.