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Finding the Third Proportional to 914,017 and 1,980,577

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Solution

The third proportional to 914,017 and 1,980,577 is: 4,291,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,017 : 1,980,577 = 1,980,577 : x
  2. Step 2: Convert to fraction form
    914,017/1,980,577 = 1,980,577/x
  3. Step 3: Cross multiply
    914,017x = 1,980,577 × 1,980,577
  4. Step 4: Simplify right side
    914,017x = 3,922,685,252,929
  5. Step 5: Solve for x
    x = 3,922,685,252,929/914,017
  6. Step 6: Final answer
    x = 4,291,698.35

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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.