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Finding the Third Proportional to 569,890.69 and 902,405.81

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Solution

The third proportional to 569,890.69 and 902,405.81 is: 1,428,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,890.69 : 902,405.81 = 902,405.81 : x
  2. Step 2: Convert to fraction form
    569,890.69/902,405.81 = 902,405.81/x
  3. Step 3: Cross multiply
    569,890.69x = 902,405.81 × 902,405.81
  4. Step 4: Simplify right side
    569,890.69x = 814,336,250,433.79
  5. Step 5: Solve for x
    x = 814,336,250,433.79/569,890.69
  6. Step 6: Final answer
    x = 1,428,934.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.