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Finding the Third Proportional to 698,437 and 1,524,813

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Solution

The third proportional to 698,437 and 1,524,813 is: 3,328,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,437 : 1,524,813 = 1,524,813 : x
  2. Step 2: Convert to fraction form
    698,437/1,524,813 = 1,524,813/x
  3. Step 3: Cross multiply
    698,437x = 1,524,813 × 1,524,813
  4. Step 4: Simplify right side
    698,437x = 2,325,054,684,969
  5. Step 5: Solve for x
    x = 2,325,054,684,969/698,437
  6. Step 6: Final answer
    x = 3,328,939.74

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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.