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Finding the Third Proportional to 525,768 and 1,148,832

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Solution

The third proportional to 525,768 and 1,148,832 is: 2,510,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,768 : 1,148,832 = 1,148,832 : x
  2. Step 2: Convert to fraction form
    525,768/1,148,832 = 1,148,832/x
  3. Step 3: Cross multiply
    525,768x = 1,148,832 × 1,148,832
  4. Step 4: Simplify right side
    525,768x = 1,319,814,964,224
  5. Step 5: Solve for x
    x = 1,319,814,964,224/525,768
  6. Step 6: Final answer
    x = 2,510,261.11

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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.