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Finding the Third Proportional to 698,433 and 1,508,160

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Solution

The third proportional to 698,433 and 1,508,160 is: 3,256,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,433 : 1,508,160 = 1,508,160 : x
  2. Step 2: Convert to fraction form
    698,433/1,508,160 = 1,508,160/x
  3. Step 3: Cross multiply
    698,433x = 1,508,160 × 1,508,160
  4. Step 4: Simplify right side
    698,433x = 2,274,546,585,600
  5. Step 5: Solve for x
    x = 2,274,546,585,600/698,433
  6. Step 6: Final answer
    x = 3,256,642.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.