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Finding the Third Proportional to 846,716 and 1,207,014

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Solution

The third proportional to 846,716 and 1,207,014 is: 1,720,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,716 : 1,207,014 = 1,207,014 : x
  2. Step 2: Convert to fraction form
    846,716/1,207,014 = 1,207,014/x
  3. Step 3: Cross multiply
    846,716x = 1,207,014 × 1,207,014
  4. Step 4: Simplify right side
    846,716x = 1,456,882,796,196
  5. Step 5: Solve for x
    x = 1,456,882,796,196/846,716
  6. Step 6: Final answer
    x = 1,720,627.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.