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Finding the Third Proportional to 915,814 and 1,346,281

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Solution

The third proportional to 915,814 and 1,346,281 is: 1,979,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,814 : 1,346,281 = 1,346,281 : x
  2. Step 2: Convert to fraction form
    915,814/1,346,281 = 1,346,281/x
  3. Step 3: Cross multiply
    915,814x = 1,346,281 × 1,346,281
  4. Step 4: Simplify right side
    915,814x = 1,812,472,530,961
  5. Step 5: Solve for x
    x = 1,812,472,530,961/915,814
  6. Step 6: Final answer
    x = 1,979,083.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.