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Finding the Third Proportional to 525,072 and 1,145,169

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Solution

The third proportional to 525,072 and 1,145,169 is: 2,497,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,072 : 1,145,169 = 1,145,169 : x
  2. Step 2: Convert to fraction form
    525,072/1,145,169 = 1,145,169/x
  3. Step 3: Cross multiply
    525,072x = 1,145,169 × 1,145,169
  4. Step 4: Simplify right side
    525,072x = 1,311,412,038,561
  5. Step 5: Solve for x
    x = 1,311,412,038,561/525,072
  6. Step 6: Final answer
    x = 2,497,585.17

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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.