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Finding the Third Proportional to 1,260,265 and 1,913,697

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Solution

The third proportional to 1,260,265 and 1,913,697 is: 2,905,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,265 : 1,913,697 = 1,913,697 : x
  2. Step 2: Convert to fraction form
    1,260,265/1,913,697 = 1,913,697/x
  3. Step 3: Cross multiply
    1,260,265x = 1,913,697 × 1,913,697
  4. Step 4: Simplify right side
    1,260,265x = 3,662,236,207,809
  5. Step 5: Solve for x
    x = 3,662,236,207,809/1,260,265
  6. Step 6: Final answer
    x = 2,905,925.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.