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Finding the Third Proportional to 452,800.13 and 942,805.13

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Solution

The third proportional to 452,800.13 and 942,805.13 is: 1,963,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,800.13 : 942,805.13 = 942,805.13 : x
  2. Step 2: Convert to fraction form
    452,800.13/942,805.13 = 942,805.13/x
  3. Step 3: Cross multiply
    452,800.13x = 942,805.13 × 942,805.13
  4. Step 4: Simplify right side
    452,800.13x = 888,881,503,726.27
  5. Step 5: Solve for x
    x = 888,881,503,726.27/452,800.13
  6. Step 6: Final answer
    x = 1,963,076.98

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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.