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Finding the Third Proportional to 619,886 and 957,466

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Solution

The third proportional to 619,886 and 957,466 is: 1,478,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,886 : 957,466 = 957,466 : x
  2. Step 2: Convert to fraction form
    619,886/957,466 = 957,466/x
  3. Step 3: Cross multiply
    619,886x = 957,466 × 957,466
  4. Step 4: Simplify right side
    619,886x = 916,741,141,156
  5. Step 5: Solve for x
    x = 916,741,141,156/619,886
  6. Step 6: Final answer
    x = 1,478,886.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.