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Finding the Third Proportional to 730,208 and 1,121,904

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Solution

The third proportional to 730,208 and 1,121,904 is: 1,723,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,208 : 1,121,904 = 1,121,904 : x
  2. Step 2: Convert to fraction form
    730,208/1,121,904 = 1,121,904/x
  3. Step 3: Cross multiply
    730,208x = 1,121,904 × 1,121,904
  4. Step 4: Simplify right side
    730,208x = 1,258,668,585,216
  5. Step 5: Solve for x
    x = 1,258,668,585,216/730,208
  6. Step 6: Final answer
    x = 1,723,712.40

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Why These Related Problems?

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