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Finding the Third Proportional to 655,548 and 989,316

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Solution

The third proportional to 655,548 and 989,316 is: 1,493,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,548 : 989,316 = 989,316 : x
  2. Step 2: Convert to fraction form
    655,548/989,316 = 989,316/x
  3. Step 3: Cross multiply
    655,548x = 989,316 × 989,316
  4. Step 4: Simplify right side
    655,548x = 978,746,147,856
  5. Step 5: Solve for x
    x = 978,746,147,856/655,548
  6. Step 6: Final answer
    x = 1,493,019.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.