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Finding the Third Proportional to 701,152 and 1,531,984

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Solution

The third proportional to 701,152 and 1,531,984 is: 3,347,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,152 : 1,531,984 = 1,531,984 : x
  2. Step 2: Convert to fraction form
    701,152/1,531,984 = 1,531,984/x
  3. Step 3: Cross multiply
    701,152x = 1,531,984 × 1,531,984
  4. Step 4: Simplify right side
    701,152x = 2,346,974,976,256
  5. Step 5: Solve for x
    x = 2,346,974,976,256/701,152
  6. Step 6: Final answer
    x = 3,347,312.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.