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Finding the Third Proportional to 728,196 and 1,584,211

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Solution

The third proportional to 728,196 and 1,584,211 is: 3,446,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,196 : 1,584,211 = 1,584,211 : x
  2. Step 2: Convert to fraction form
    728,196/1,584,211 = 1,584,211/x
  3. Step 3: Cross multiply
    728,196x = 1,584,211 × 1,584,211
  4. Step 4: Simplify right side
    728,196x = 2,509,724,492,521
  5. Step 5: Solve for x
    x = 2,509,724,492,521/728,196
  6. Step 6: Final answer
    x = 3,446,495.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.