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Finding the Third Proportional to 683,148 and 1,460,883

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Solution

The third proportional to 683,148 and 1,460,883 is: 3,124,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,148 : 1,460,883 = 1,460,883 : x
  2. Step 2: Convert to fraction form
    683,148/1,460,883 = 1,460,883/x
  3. Step 3: Cross multiply
    683,148x = 1,460,883 × 1,460,883
  4. Step 4: Simplify right side
    683,148x = 2,134,179,139,689
  5. Step 5: Solve for x
    x = 2,134,179,139,689/683,148
  6. Step 6: Final answer
    x = 3,124,036.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.