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Finding the Third Proportional to 748,880 and 1,640,310

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Solution

The third proportional to 748,880 and 1,640,310 is: 3,592,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,880 : 1,640,310 = 1,640,310 : x
  2. Step 2: Convert to fraction form
    748,880/1,640,310 = 1,640,310/x
  3. Step 3: Cross multiply
    748,880x = 1,640,310 × 1,640,310
  4. Step 4: Simplify right side
    748,880x = 2,690,616,896,100
  5. Step 5: Solve for x
    x = 2,690,616,896,100/748,880
  6. Step 6: Final answer
    x = 3,592,854.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.