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Finding the Third Proportional to 917,984 and 1,417,824

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Solution

The third proportional to 917,984 and 1,417,824 is: 2,189,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,984 : 1,417,824 = 1,417,824 : x
  2. Step 2: Convert to fraction form
    917,984/1,417,824 = 1,417,824/x
  3. Step 3: Cross multiply
    917,984x = 1,417,824 × 1,417,824
  4. Step 4: Simplify right side
    917,984x = 2,010,224,894,976
  5. Step 5: Solve for x
    x = 2,010,224,894,976/917,984
  6. Step 6: Final answer
    x = 2,189,825.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.