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Finding the Third Proportional to 621,316 and 931,014

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Solution

The third proportional to 621,316 and 931,014 is: 1,395,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,316 : 931,014 = 931,014 : x
  2. Step 2: Convert to fraction form
    621,316/931,014 = 931,014/x
  3. Step 3: Cross multiply
    621,316x = 931,014 × 931,014
  4. Step 4: Simplify right side
    621,316x = 866,787,068,196
  5. Step 5: Solve for x
    x = 866,787,068,196/621,316
  6. Step 6: Final answer
    x = 1,395,082.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.