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Finding the Third Proportional to 736,922 and 1,598,260

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Solution

The third proportional to 736,922 and 1,598,260 is: 3,466,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,922 : 1,598,260 = 1,598,260 : x
  2. Step 2: Convert to fraction form
    736,922/1,598,260 = 1,598,260/x
  3. Step 3: Cross multiply
    736,922x = 1,598,260 × 1,598,260
  4. Step 4: Simplify right side
    736,922x = 2,554,435,027,600
  5. Step 5: Solve for x
    x = 2,554,435,027,600/736,922
  6. Step 6: Final answer
    x = 3,466,357.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.