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Finding the Third Proportional to 528,576 and 1,161,696

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Solution

The third proportional to 528,576 and 1,161,696 is: 2,553,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,576 : 1,161,696 = 1,161,696 : x
  2. Step 2: Convert to fraction form
    528,576/1,161,696 = 1,161,696/x
  3. Step 3: Cross multiply
    528,576x = 1,161,696 × 1,161,696
  4. Step 4: Simplify right side
    528,576x = 1,349,537,596,416
  5. Step 5: Solve for x
    x = 1,349,537,596,416/528,576
  6. Step 6: Final answer
    x = 2,553,157.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.