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Finding the Third Proportional to 911,216 and 1,448,202

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Solution

The third proportional to 911,216 and 1,448,202 is: 2,301,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,216 : 1,448,202 = 1,448,202 : x
  2. Step 2: Convert to fraction form
    911,216/1,448,202 = 1,448,202/x
  3. Step 3: Cross multiply
    911,216x = 1,448,202 × 1,448,202
  4. Step 4: Simplify right side
    911,216x = 2,097,289,032,804
  5. Step 5: Solve for x
    x = 2,097,289,032,804/911,216
  6. Step 6: Final answer
    x = 2,301,637.63

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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.