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Finding the Third Proportional to 620,597 and 948,716

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Solution

The third proportional to 620,597 and 948,716 is: 1,450,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,597 : 948,716 = 948,716 : x
  2. Step 2: Convert to fraction form
    620,597/948,716 = 948,716/x
  3. Step 3: Cross multiply
    620,597x = 948,716 × 948,716
  4. Step 4: Simplify right side
    620,597x = 900,062,048,656
  5. Step 5: Solve for x
    x = 900,062,048,656/620,597
  6. Step 6: Final answer
    x = 1,450,316.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.