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Finding the Third Proportional to 585,156 and 1,277,476

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Solution

The third proportional to 585,156 and 1,277,476 is: 2,788,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,156 : 1,277,476 = 1,277,476 : x
  2. Step 2: Convert to fraction form
    585,156/1,277,476 = 1,277,476/x
  3. Step 3: Cross multiply
    585,156x = 1,277,476 × 1,277,476
  4. Step 4: Simplify right side
    585,156x = 1,631,944,930,576
  5. Step 5: Solve for x
    x = 1,631,944,930,576/585,156
  6. Step 6: Final answer
    x = 2,788,905.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.