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Finding the Third Proportional to 668,562 and 1,430,436

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Solution

The third proportional to 668,562 and 1,430,436 is: 3,060,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,562 : 1,430,436 = 1,430,436 : x
  2. Step 2: Convert to fraction form
    668,562/1,430,436 = 1,430,436/x
  3. Step 3: Cross multiply
    668,562x = 1,430,436 × 1,430,436
  4. Step 4: Simplify right side
    668,562x = 2,046,147,150,096
  5. Step 5: Solve for x
    x = 2,046,147,150,096/668,562
  6. Step 6: Final answer
    x = 3,060,519.67

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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.