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Finding the Third Proportional to 965,152 and 1,502,880

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Solution

The third proportional to 965,152 and 1,502,880 is: 2,340,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,152 : 1,502,880 = 1,502,880 : x
  2. Step 2: Convert to fraction form
    965,152/1,502,880 = 1,502,880/x
  3. Step 3: Cross multiply
    965,152x = 1,502,880 × 1,502,880
  4. Step 4: Simplify right side
    965,152x = 2,258,648,294,400
  5. Step 5: Solve for x
    x = 2,258,648,294,400/965,152
  6. Step 6: Final answer
    x = 2,340,199.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.