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Finding the Third Proportional to 452,615.34 and 942,054.68

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Solution

The third proportional to 452,615.34 and 942,054.68 is: 1,960,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,615.34 : 942,054.68 = 942,054.68 : x
  2. Step 2: Convert to fraction form
    452,615.34/942,054.68 = 942,054.68/x
  3. Step 3: Cross multiply
    452,615.34x = 942,054.68 × 942,054.68
  4. Step 4: Simplify right side
    452,615.34x = 887,467,019,521.12
  5. Step 5: Solve for x
    x = 887,467,019,521.12/452,615.34
  6. Step 6: Final answer
    x = 1,960,753.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.