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Finding the Third Proportional to 1,302,554 and 1,967,442

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Solution

The third proportional to 1,302,554 and 1,967,442 is: 2,971,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,554 : 1,967,442 = 1,967,442 : x
  2. Step 2: Convert to fraction form
    1,302,554/1,967,442 = 1,967,442/x
  3. Step 3: Cross multiply
    1,302,554x = 1,967,442 × 1,967,442
  4. Step 4: Simplify right side
    1,302,554x = 3,870,828,023,364
  5. Step 5: Solve for x
    x = 3,870,828,023,364/1,302,554
  6. Step 6: Final answer
    x = 2,971,721.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.