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Finding the Third Proportional to 1,157,780 and 2,468,488

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Solution

The third proportional to 1,157,780 and 2,468,488 is: 5,263,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,780 : 2,468,488 = 2,468,488 : x
  2. Step 2: Convert to fraction form
    1,157,780/2,468,488 = 2,468,488/x
  3. Step 3: Cross multiply
    1,157,780x = 2,468,488 × 2,468,488
  4. Step 4: Simplify right side
    1,157,780x = 6,093,433,006,144
  5. Step 5: Solve for x
    x = 6,093,433,006,144/1,157,780
  6. Step 6: Final answer
    x = 5,263,031.84

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.