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Finding the Third Proportional to 523,020 and 1,128,984

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Solution

The third proportional to 523,020 and 1,128,984 is: 2,437,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,020 : 1,128,984 = 1,128,984 : x
  2. Step 2: Convert to fraction form
    523,020/1,128,984 = 1,128,984/x
  3. Step 3: Cross multiply
    523,020x = 1,128,984 × 1,128,984
  4. Step 4: Simplify right side
    523,020x = 1,274,604,872,256
  5. Step 5: Solve for x
    x = 1,274,604,872,256/523,020
  6. Step 6: Final answer
    x = 2,437,009.81

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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.