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Finding the Third Proportional to 585,802.13 and 1,283,958

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Solution

The third proportional to 585,802.13 and 1,283,958 is: 2,814,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,802.13 : 1,283,958 = 1,283,958 : x
  2. Step 2: Convert to fraction form
    585,802.13/1,283,958 = 1,283,958/x
  3. Step 3: Cross multiply
    585,802.13x = 1,283,958 × 1,283,958
  4. Step 4: Simplify right side
    585,802.13x = 1,648,548,145,764
  5. Step 5: Solve for x
    x = 1,648,548,145,764/585,802.13
  6. Step 6: Final answer
    x = 2,814,172.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.