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Finding the Third Proportional to 698,598 and 1,531,325.25

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Solution

The third proportional to 698,598 and 1,531,325.25 is: 3,356,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,598 : 1,531,325.25 = 1,531,325.25 : x
  2. Step 2: Convert to fraction form
    698,598/1,531,325.25 = 1,531,325.25/x
  3. Step 3: Cross multiply
    698,598x = 1,531,325.25 × 1,531,325.25
  4. Step 4: Simplify right side
    698,598x = 2,344,957,021,287.56
  5. Step 5: Solve for x
    x = 2,344,957,021,287.56/698,598
  6. Step 6: Final answer
    x = 3,356,661.52

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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.