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Finding the Third Proportional to 698,685.75 and 1,496,971.13

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Solution

The third proportional to 698,685.75 and 1,496,971.13 is: 3,207,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,685.75 : 1,496,971.13 = 1,496,971.13 : x
  2. Step 2: Convert to fraction form
    698,685.75/1,496,971.13 = 1,496,971.13/x
  3. Step 3: Cross multiply
    698,685.75x = 1,496,971.13 × 1,496,971.13
  4. Step 4: Simplify right side
    698,685.75x = 2,240,922,549,083.77
  5. Step 5: Solve for x
    x = 2,240,922,549,083.77/698,685.75
  6. Step 6: Final answer
    x = 3,207,339.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.