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Finding the Third Proportional to 628,896 and 1,357,907.25

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Solution

The third proportional to 628,896 and 1,357,907.25 is: 2,931,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,896 : 1,357,907.25 = 1,357,907.25 : x
  2. Step 2: Convert to fraction form
    628,896/1,357,907.25 = 1,357,907.25/x
  3. Step 3: Cross multiply
    628,896x = 1,357,907.25 × 1,357,907.25
  4. Step 4: Simplify right side
    628,896x = 1,843,912,099,602.56
  5. Step 5: Solve for x
    x = 1,843,912,099,602.56/628,896
  6. Step 6: Final answer
    x = 2,931,982.55

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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.