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Finding the Third Proportional to 833,780 and 1,267,518

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Solution

The third proportional to 833,780 and 1,267,518 is: 1,926,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,780 : 1,267,518 = 1,267,518 : x
  2. Step 2: Convert to fraction form
    833,780/1,267,518 = 1,267,518/x
  3. Step 3: Cross multiply
    833,780x = 1,267,518 × 1,267,518
  4. Step 4: Simplify right side
    833,780x = 1,606,601,880,324
  5. Step 5: Solve for x
    x = 1,606,601,880,324/833,780
  6. Step 6: Final answer
    x = 1,926,889.44

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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.