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Finding the Third Proportional to 720,256 and 1,549,802

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Solution

The third proportional to 720,256 and 1,549,802 is: 3,334,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,256 : 1,549,802 = 1,549,802 : x
  2. Step 2: Convert to fraction form
    720,256/1,549,802 = 1,549,802/x
  3. Step 3: Cross multiply
    720,256x = 1,549,802 × 1,549,802
  4. Step 4: Simplify right side
    720,256x = 2,401,886,239,204
  5. Step 5: Solve for x
    x = 2,401,886,239,204/720,256
  6. Step 6: Final answer
    x = 3,334,767.41

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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.