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Finding the Third Proportional to 893,824 and 1,250,284

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Solution

The third proportional to 893,824 and 1,250,284 is: 1,748,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,824 : 1,250,284 = 1,250,284 : x
  2. Step 2: Convert to fraction form
    893,824/1,250,284 = 1,250,284/x
  3. Step 3: Cross multiply
    893,824x = 1,250,284 × 1,250,284
  4. Step 4: Simplify right side
    893,824x = 1,563,210,080,656
  5. Step 5: Solve for x
    x = 1,563,210,080,656/893,824
  6. Step 6: Final answer
    x = 1,748,901.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.