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Finding the Third Proportional to 597,924 and 1,290,240

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Solution

The third proportional to 597,924 and 1,290,240 is: 2,784,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,924 : 1,290,240 = 1,290,240 : x
  2. Step 2: Convert to fraction form
    597,924/1,290,240 = 1,290,240/x
  3. Step 3: Cross multiply
    597,924x = 1,290,240 × 1,290,240
  4. Step 4: Simplify right side
    597,924x = 1,664,719,257,600
  5. Step 5: Solve for x
    x = 1,664,719,257,600/597,924
  6. Step 6: Final answer
    x = 2,784,165.31

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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.