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Finding the Third Proportional to 440,970.75 and 965,973.75

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Solution

The third proportional to 440,970.75 and 965,973.75 is: 2,116,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,970.75 : 965,973.75 = 965,973.75 : x
  2. Step 2: Convert to fraction form
    440,970.75/965,973.75 = 965,973.75/x
  3. Step 3: Cross multiply
    440,970.75x = 965,973.75 × 965,973.75
  4. Step 4: Simplify right side
    440,970.75x = 933,105,285,689.06
  5. Step 5: Solve for x
    x = 933,105,285,689.06/440,970.75
  6. Step 6: Final answer
    x = 2,116,025.35

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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.