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Finding the Third Proportional to 570,344 and 1,237,824

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Solution

The third proportional to 570,344 and 1,237,824 is: 2,686,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,344 : 1,237,824 = 1,237,824 : x
  2. Step 2: Convert to fraction form
    570,344/1,237,824 = 1,237,824/x
  3. Step 3: Cross multiply
    570,344x = 1,237,824 × 1,237,824
  4. Step 4: Simplify right side
    570,344x = 1,532,208,254,976
  5. Step 5: Solve for x
    x = 1,532,208,254,976/570,344
  6. Step 6: Final answer
    x = 2,686,463.35

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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.