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Finding the Third Proportional to 894,240 and 1,352,904

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Solution

The third proportional to 894,240 and 1,352,904 is: 2,046,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,240 : 1,352,904 = 1,352,904 : x
  2. Step 2: Convert to fraction form
    894,240/1,352,904 = 1,352,904/x
  3. Step 3: Cross multiply
    894,240x = 1,352,904 × 1,352,904
  4. Step 4: Simplify right side
    894,240x = 1,830,349,233,216
  5. Step 5: Solve for x
    x = 1,830,349,233,216/894,240
  6. Step 6: Final answer
    x = 2,046,821.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.