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Finding the Third Proportional to 959,824 and 1,490,040

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Solution

The third proportional to 959,824 and 1,490,040 is: 2,313,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,824 : 1,490,040 = 1,490,040 : x
  2. Step 2: Convert to fraction form
    959,824/1,490,040 = 1,490,040/x
  3. Step 3: Cross multiply
    959,824x = 1,490,040 × 1,490,040
  4. Step 4: Simplify right side
    959,824x = 2,220,219,201,600
  5. Step 5: Solve for x
    x = 2,220,219,201,600/959,824
  6. Step 6: Final answer
    x = 2,313,152.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.