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Finding the Third Proportional to 611,748 and 1,317,232

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Solution

The third proportional to 611,748 and 1,317,232 is: 2,836,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,748 : 1,317,232 = 1,317,232 : x
  2. Step 2: Convert to fraction form
    611,748/1,317,232 = 1,317,232/x
  3. Step 3: Cross multiply
    611,748x = 1,317,232 × 1,317,232
  4. Step 4: Simplify right side
    611,748x = 1,735,100,141,824
  5. Step 5: Solve for x
    x = 1,735,100,141,824/611,748
  6. Step 6: Final answer
    x = 2,836,298.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.