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Finding the Third Proportional to 804,768 and 1,740,210

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Solution

The third proportional to 804,768 and 1,740,210 is: 3,762,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,768 : 1,740,210 = 1,740,210 : x
  2. Step 2: Convert to fraction form
    804,768/1,740,210 = 1,740,210/x
  3. Step 3: Cross multiply
    804,768x = 1,740,210 × 1,740,210
  4. Step 4: Simplify right side
    804,768x = 3,028,330,844,100
  5. Step 5: Solve for x
    x = 3,028,330,844,100/804,768
  6. Step 6: Final answer
    x = 3,762,986.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.