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Finding the Third Proportional to 914,019 and 1,980,581

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Solution

The third proportional to 914,019 and 1,980,581 is: 4,291,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,019 : 1,980,581 = 1,980,581 : x
  2. Step 2: Convert to fraction form
    914,019/1,980,581 = 1,980,581/x
  3. Step 3: Cross multiply
    914,019x = 1,980,581 × 1,980,581
  4. Step 4: Simplify right side
    914,019x = 3,922,701,097,561
  5. Step 5: Solve for x
    x = 3,922,701,097,561/914,019
  6. Step 6: Final answer
    x = 4,291,706.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.