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Finding the Third Proportional to 651,763 and 954,310

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Solution

The third proportional to 651,763 and 954,310 is: 1,397,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,763 : 954,310 = 954,310 : x
  2. Step 2: Convert to fraction form
    651,763/954,310 = 954,310/x
  3. Step 3: Cross multiply
    651,763x = 954,310 × 954,310
  4. Step 4: Simplify right side
    651,763x = 910,707,576,100
  5. Step 5: Solve for x
    x = 910,707,576,100/651,763
  6. Step 6: Final answer
    x = 1,397,298.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.