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Finding the Third Proportional to 646,260 and 1,380,484

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Solution

The third proportional to 646,260 and 1,380,484 is: 2,948,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,260 : 1,380,484 = 1,380,484 : x
  2. Step 2: Convert to fraction form
    646,260/1,380,484 = 1,380,484/x
  3. Step 3: Cross multiply
    646,260x = 1,380,484 × 1,380,484
  4. Step 4: Simplify right side
    646,260x = 1,905,736,074,256
  5. Step 5: Solve for x
    x = 1,905,736,074,256/646,260
  6. Step 6: Final answer
    x = 2,948,868.99

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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.