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Finding the Third Proportional to 638,748 and 1,390,896

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Solution

The third proportional to 638,748 and 1,390,896 is: 3,028,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,748 : 1,390,896 = 1,390,896 : x
  2. Step 2: Convert to fraction form
    638,748/1,390,896 = 1,390,896/x
  3. Step 3: Cross multiply
    638,748x = 1,390,896 × 1,390,896
  4. Step 4: Simplify right side
    638,748x = 1,934,591,682,816
  5. Step 5: Solve for x
    x = 1,934,591,682,816/638,748
  6. Step 6: Final answer
    x = 3,028,724.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.