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Finding the Third Proportional to 492,603 and 1,077,789

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Solution

The third proportional to 492,603 and 1,077,789 is: 2,358,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,603 : 1,077,789 = 1,077,789 : x
  2. Step 2: Convert to fraction form
    492,603/1,077,789 = 1,077,789/x
  3. Step 3: Cross multiply
    492,603x = 1,077,789 × 1,077,789
  4. Step 4: Simplify right side
    492,603x = 1,161,629,128,521
  5. Step 5: Solve for x
    x = 1,161,629,128,521/492,603
  6. Step 6: Final answer
    x = 2,358,144.65

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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.