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Finding the Third Proportional to 559,760 and 1,207,968

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Solution

The third proportional to 559,760 and 1,207,968 is: 2,606,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,760 : 1,207,968 = 1,207,968 : x
  2. Step 2: Convert to fraction form
    559,760/1,207,968 = 1,207,968/x
  3. Step 3: Cross multiply
    559,760x = 1,207,968 × 1,207,968
  4. Step 4: Simplify right side
    559,760x = 1,459,186,689,024
  5. Step 5: Solve for x
    x = 1,459,186,689,024/559,760
  6. Step 6: Final answer
    x = 2,606,807.72

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Why These Related Problems?

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