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Finding the Third Proportional to 1,232,208 and 1,830,240

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Solution

The third proportional to 1,232,208 and 1,830,240 is: 2,718,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,208 : 1,830,240 = 1,830,240 : x
  2. Step 2: Convert to fraction form
    1,232,208/1,830,240 = 1,830,240/x
  3. Step 3: Cross multiply
    1,232,208x = 1,830,240 × 1,830,240
  4. Step 4: Simplify right side
    1,232,208x = 3,349,778,457,600
  5. Step 5: Solve for x
    x = 3,349,778,457,600/1,232,208
  6. Step 6: Final answer
    x = 2,718,517.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.