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Finding the Third Proportional to 593,740.69 and 1,303,084.69

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Solution

The third proportional to 593,740.69 and 1,303,084.69 is: 2,859,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,740.69 : 1,303,084.69 = 1,303,084.69 : x
  2. Step 2: Convert to fraction form
    593,740.69/1,303,084.69 = 1,303,084.69/x
  3. Step 3: Cross multiply
    593,740.69x = 1,303,084.69 × 1,303,084.69
  4. Step 4: Simplify right side
    593,740.69x = 1,698,029,702,796.97
  5. Step 5: Solve for x
    x = 1,698,029,702,796.97/593,740.69
  6. Step 6: Final answer
    x = 2,859,884.35

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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.