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Finding the Third Proportional to 523,282 and 1,130,209

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Solution

The third proportional to 523,282 and 1,130,209 is: 2,441,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,282 : 1,130,209 = 1,130,209 : x
  2. Step 2: Convert to fraction form
    523,282/1,130,209 = 1,130,209/x
  3. Step 3: Cross multiply
    523,282x = 1,130,209 × 1,130,209
  4. Step 4: Simplify right side
    523,282x = 1,277,372,383,681
  5. Step 5: Solve for x
    x = 1,277,372,383,681/523,282
  6. Step 6: Final answer
    x = 2,441,078.39

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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.