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Finding the Third Proportional to 963,260 and 2,109,220

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Solution

The third proportional to 963,260 and 2,109,220 is: 4,618,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,260 : 2,109,220 = 2,109,220 : x
  2. Step 2: Convert to fraction form
    963,260/2,109,220 = 2,109,220/x
  3. Step 3: Cross multiply
    963,260x = 2,109,220 × 2,109,220
  4. Step 4: Simplify right side
    963,260x = 4,448,809,008,400
  5. Step 5: Solve for x
    x = 4,448,809,008,400/963,260
  6. Step 6: Final answer
    x = 4,618,492.42

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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.