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Finding the Third Proportional to 698,657.06 and 1,496,913.75

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Solution

The third proportional to 698,657.06 and 1,496,913.75 is: 3,207,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,657.06 : 1,496,913.75 = 1,496,913.75 : x
  2. Step 2: Convert to fraction form
    698,657.06/1,496,913.75 = 1,496,913.75/x
  3. Step 3: Cross multiply
    698,657.06x = 1,496,913.75 × 1,496,913.75
  4. Step 4: Simplify right side
    698,657.06x = 2,240,750,774,939.06
  5. Step 5: Solve for x
    x = 2,240,750,774,939.06/698,657.06
  6. Step 6: Final answer
    x = 3,207,225.54

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