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Finding the Third Proportional to 406,904.63 and 883,863

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Solution

The third proportional to 406,904.63 and 883,863 is: 1,919,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,904.63 : 883,863 = 883,863 : x
  2. Step 2: Convert to fraction form
    406,904.63/883,863 = 883,863/x
  3. Step 3: Cross multiply
    406,904.63x = 883,863 × 883,863
  4. Step 4: Simplify right side
    406,904.63x = 781,213,802,769
  5. Step 5: Solve for x
    x = 781,213,802,769/406,904.63
  6. Step 6: Final answer
    x = 1,919,894.13

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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.