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Finding the Third Proportional to 786,926 and 1,716,097

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Solution

The third proportional to 786,926 and 1,716,097 is: 3,742,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,926 : 1,716,097 = 1,716,097 : x
  2. Step 2: Convert to fraction form
    786,926/1,716,097 = 1,716,097/x
  3. Step 3: Cross multiply
    786,926x = 1,716,097 × 1,716,097
  4. Step 4: Simplify right side
    786,926x = 2,944,988,913,409
  5. Step 5: Solve for x
    x = 2,944,988,913,409/786,926
  6. Step 6: Final answer
    x = 3,742,396.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.