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Finding the Third Proportional to 915,824 and 1,400,928

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Solution

The third proportional to 915,824 and 1,400,928 is: 2,142,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,824 : 1,400,928 = 1,400,928 : x
  2. Step 2: Convert to fraction form
    915,824/1,400,928 = 1,400,928/x
  3. Step 3: Cross multiply
    915,824x = 1,400,928 × 1,400,928
  4. Step 4: Simplify right side
    915,824x = 1,962,599,261,184
  5. Step 5: Solve for x
    x = 1,962,599,261,184/915,824
  6. Step 6: Final answer
    x = 2,142,987.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.