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Finding the Third Proportional to 911,220 and 1,448,208

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Solution

The third proportional to 911,220 and 1,448,208 is: 2,301,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,220 : 1,448,208 = 1,448,208 : x
  2. Step 2: Convert to fraction form
    911,220/1,448,208 = 1,448,208/x
  3. Step 3: Cross multiply
    911,220x = 1,448,208 × 1,448,208
  4. Step 4: Simplify right side
    911,220x = 2,097,306,411,264
  5. Step 5: Solve for x
    x = 2,097,306,411,264/911,220
  6. Step 6: Final answer
    x = 2,301,646.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.