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Finding the Third Proportional to 1,020,602 and 1,460,919

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Solution

The third proportional to 1,020,602 and 1,460,919 is: 2,091,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,602 : 1,460,919 = 1,460,919 : x
  2. Step 2: Convert to fraction form
    1,020,602/1,460,919 = 1,460,919/x
  3. Step 3: Cross multiply
    1,020,602x = 1,460,919 × 1,460,919
  4. Step 4: Simplify right side
    1,020,602x = 2,134,284,324,561
  5. Step 5: Solve for x
    x = 2,134,284,324,561/1,020,602
  6. Step 6: Final answer
    x = 2,091,201.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.