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Finding the Third Proportional to 1,532,880 and 3,164,160

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Solution

The third proportional to 1,532,880 and 3,164,160 is: 6,531,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,880 : 3,164,160 = 3,164,160 : x
  2. Step 2: Convert to fraction form
    1,532,880/3,164,160 = 3,164,160/x
  3. Step 3: Cross multiply
    1,532,880x = 3,164,160 × 3,164,160
  4. Step 4: Simplify right side
    1,532,880x = 10,011,908,505,600
  5. Step 5: Solve for x
    x = 10,011,908,505,600/1,532,880
  6. Step 6: Final answer
    x = 6,531,436.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.