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Finding the Third Proportional to 411,324 and 917,169

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Solution

The third proportional to 411,324 and 917,169 is: 2,045,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,324 : 917,169 = 917,169 : x
  2. Step 2: Convert to fraction form
    411,324/917,169 = 917,169/x
  3. Step 3: Cross multiply
    411,324x = 917,169 × 917,169
  4. Step 4: Simplify right side
    411,324x = 841,198,974,561
  5. Step 5: Solve for x
    x = 841,198,974,561/411,324
  6. Step 6: Final answer
    x = 2,045,100.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.