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Finding the Third Proportional to 726,324 and 1,595,976

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Solution

The third proportional to 726,324 and 1,595,976 is: 3,506,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,324 : 1,595,976 = 1,595,976 : x
  2. Step 2: Convert to fraction form
    726,324/1,595,976 = 1,595,976/x
  3. Step 3: Cross multiply
    726,324x = 1,595,976 × 1,595,976
  4. Step 4: Simplify right side
    726,324x = 2,547,139,392,576
  5. Step 5: Solve for x
    x = 2,547,139,392,576/726,324
  6. Step 6: Final answer
    x = 3,506,891.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.