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Finding the Third Proportional to 691,332 and 1,430,652

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Solution

The third proportional to 691,332 and 1,430,652 is: 2,960,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,332 : 1,430,652 = 1,430,652 : x
  2. Step 2: Convert to fraction form
    691,332/1,430,652 = 1,430,652/x
  3. Step 3: Cross multiply
    691,332x = 1,430,652 × 1,430,652
  4. Step 4: Simplify right side
    691,332x = 2,046,765,145,104
  5. Step 5: Solve for x
    x = 2,046,765,145,104/691,332
  6. Step 6: Final answer
    x = 2,960,611.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.