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Finding the Third Proportional to 460,528 and 1,028,120

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Solution

The third proportional to 460,528 and 1,028,120 is: 2,295,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,528 : 1,028,120 = 1,028,120 : x
  2. Step 2: Convert to fraction form
    460,528/1,028,120 = 1,028,120/x
  3. Step 3: Cross multiply
    460,528x = 1,028,120 × 1,028,120
  4. Step 4: Simplify right side
    460,528x = 1,057,030,734,400
  5. Step 5: Solve for x
    x = 1,057,030,734,400/460,528
  6. Step 6: Final answer
    x = 2,295,258.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.