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Finding the Third Proportional to 537,024 and 1,254,240

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Solution

The third proportional to 537,024 and 1,254,240 is: 2,929,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,024 : 1,254,240 = 1,254,240 : x
  2. Step 2: Convert to fraction form
    537,024/1,254,240 = 1,254,240/x
  3. Step 3: Cross multiply
    537,024x = 1,254,240 × 1,254,240
  4. Step 4: Simplify right side
    537,024x = 1,573,117,977,600
  5. Step 5: Solve for x
    x = 1,573,117,977,600/537,024
  6. Step 6: Final answer
    x = 2,929,325.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.