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Finding the Third Proportional to 581,472 and 1,273,536

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Solution

The third proportional to 581,472 and 1,273,536 is: 2,789,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,472 : 1,273,536 = 1,273,536 : x
  2. Step 2: Convert to fraction form
    581,472/1,273,536 = 1,273,536/x
  3. Step 3: Cross multiply
    581,472x = 1,273,536 × 1,273,536
  4. Step 4: Simplify right side
    581,472x = 1,621,893,943,296
  5. Step 5: Solve for x
    x = 1,621,893,943,296/581,472
  6. Step 6: Final answer
    x = 2,789,289.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.