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Finding the Third Proportional to 648,657 and 1,419,494.25

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Solution

The third proportional to 648,657 and 1,419,494.25 is: 3,106,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,657 : 1,419,494.25 = 1,419,494.25 : x
  2. Step 2: Convert to fraction form
    648,657/1,419,494.25 = 1,419,494.25/x
  3. Step 3: Cross multiply
    648,657x = 1,419,494.25 × 1,419,494.25
  4. Step 4: Simplify right side
    648,657x = 2,014,963,925,783.06
  5. Step 5: Solve for x
    x = 2,014,963,925,783.06/648,657
  6. Step 6: Final answer
    x = 3,106,362.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.