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Finding the Third Proportional to 484,258 and 1,125,324

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Solution

The third proportional to 484,258 and 1,125,324 is: 2,615,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,258 : 1,125,324 = 1,125,324 : x
  2. Step 2: Convert to fraction form
    484,258/1,125,324 = 1,125,324/x
  3. Step 3: Cross multiply
    484,258x = 1,125,324 × 1,125,324
  4. Step 4: Simplify right side
    484,258x = 1,266,354,104,976
  5. Step 5: Solve for x
    x = 1,266,354,104,976/484,258
  6. Step 6: Final answer
    x = 2,615,040.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.