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Finding the Third Proportional to 897,649.50 and 1,964,211

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Solution

The third proportional to 897,649.50 and 1,964,211 is: 4,298,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,649.50 : 1,964,211 = 1,964,211 : x
  2. Step 2: Convert to fraction form
    897,649.50/1,964,211 = 1,964,211/x
  3. Step 3: Cross multiply
    897,649.50x = 1,964,211 × 1,964,211
  4. Step 4: Simplify right side
    897,649.50x = 3,858,124,852,521
  5. Step 5: Solve for x
    x = 3,858,124,852,521/897,649.50
  6. Step 6: Final answer
    x = 4,298,030.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.