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Finding the Third Proportional to 726,216 and 1,590,240

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Solution

The third proportional to 726,216 and 1,590,240 is: 3,482,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,216 : 1,590,240 = 1,590,240 : x
  2. Step 2: Convert to fraction form
    726,216/1,590,240 = 1,590,240/x
  3. Step 3: Cross multiply
    726,216x = 1,590,240 × 1,590,240
  4. Step 4: Simplify right side
    726,216x = 2,528,863,257,600
  5. Step 5: Solve for x
    x = 2,528,863,257,600/726,216
  6. Step 6: Final answer
    x = 3,482,246.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.