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Finding the Third Proportional to 635,428 and 1,314,920

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Solution

The third proportional to 635,428 and 1,314,920 is: 2,721,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,428 : 1,314,920 = 1,314,920 : x
  2. Step 2: Convert to fraction form
    635,428/1,314,920 = 1,314,920/x
  3. Step 3: Cross multiply
    635,428x = 1,314,920 × 1,314,920
  4. Step 4: Simplify right side
    635,428x = 1,729,014,606,400
  5. Step 5: Solve for x
    x = 1,729,014,606,400/635,428
  6. Step 6: Final answer
    x = 2,721,023.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.