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Finding the Third Proportional to 406,814.63 and 884,980.13

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Solution

The third proportional to 406,814.63 and 884,980.13 is: 1,925,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,814.63 : 884,980.13 = 884,980.13 : x
  2. Step 2: Convert to fraction form
    406,814.63/884,980.13 = 884,980.13/x
  3. Step 3: Cross multiply
    406,814.63x = 884,980.13 × 884,980.13
  4. Step 4: Simplify right side
    406,814.63x = 783,189,821,645.02
  5. Step 5: Solve for x
    x = 783,189,821,645.02/406,814.63
  6. Step 6: Final answer
    x = 1,925,176.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.