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Finding the Third Proportional to 406,984 and 884,022

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Solution

The third proportional to 406,984 and 884,022 is: 1,920,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,984 : 884,022 = 884,022 : x
  2. Step 2: Convert to fraction form
    406,984/884,022 = 884,022/x
  3. Step 3: Cross multiply
    406,984x = 884,022 × 884,022
  4. Step 4: Simplify right side
    406,984x = 781,494,896,484
  5. Step 5: Solve for x
    x = 781,494,896,484/406,984
  6. Step 6: Final answer
    x = 1,920,210.37

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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.