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Finding the Third Proportional to 698,154 and 1,503,168

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Solution

The third proportional to 698,154 and 1,503,168 is: 3,236,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,154 : 1,503,168 = 1,503,168 : x
  2. Step 2: Convert to fraction form
    698,154/1,503,168 = 1,503,168/x
  3. Step 3: Cross multiply
    698,154x = 1,503,168 × 1,503,168
  4. Step 4: Simplify right side
    698,154x = 2,259,514,036,224
  5. Step 5: Solve for x
    x = 2,259,514,036,224/698,154
  6. Step 6: Final answer
    x = 3,236,412.08

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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.