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Finding the Third Proportional to 738,768 and 1,595,680

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Solution

The third proportional to 738,768 and 1,595,680 is: 3,446,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,768 : 1,595,680 = 1,595,680 : x
  2. Step 2: Convert to fraction form
    738,768/1,595,680 = 1,595,680/x
  3. Step 3: Cross multiply
    738,768x = 1,595,680 × 1,595,680
  4. Step 4: Simplify right side
    738,768x = 2,546,194,662,400
  5. Step 5: Solve for x
    x = 2,546,194,662,400/738,768
  6. Step 6: Final answer
    x = 3,446,541.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.