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Finding the Third Proportional to 581,472 and 1,287,296

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Solution

The third proportional to 581,472 and 1,287,296 is: 2,849,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,472 : 1,287,296 = 1,287,296 : x
  2. Step 2: Convert to fraction form
    581,472/1,287,296 = 1,287,296/x
  3. Step 3: Cross multiply
    581,472x = 1,287,296 × 1,287,296
  4. Step 4: Simplify right side
    581,472x = 1,657,130,991,616
  5. Step 5: Solve for x
    x = 1,657,130,991,616/581,472
  6. Step 6: Final answer
    x = 2,849,889.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.