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Finding the Third Proportional to 559,807 and 1,199,478

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Solution

The third proportional to 559,807 and 1,199,478 is: 2,570,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,807 : 1,199,478 = 1,199,478 : x
  2. Step 2: Convert to fraction form
    559,807/1,199,478 = 1,199,478/x
  3. Step 3: Cross multiply
    559,807x = 1,199,478 × 1,199,478
  4. Step 4: Simplify right side
    559,807x = 1,438,747,472,484
  5. Step 5: Solve for x
    x = 1,438,747,472,484/559,807
  6. Step 6: Final answer
    x = 2,570,077.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.