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Finding the Third Proportional to 604,569 and 1,319,664

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Solution

The third proportional to 604,569 and 1,319,664 is: 2,880,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,569 : 1,319,664 = 1,319,664 : x
  2. Step 2: Convert to fraction form
    604,569/1,319,664 = 1,319,664/x
  3. Step 3: Cross multiply
    604,569x = 1,319,664 × 1,319,664
  4. Step 4: Simplify right side
    604,569x = 1,741,513,072,896
  5. Step 5: Solve for x
    x = 1,741,513,072,896/604,569
  6. Step 6: Final answer
    x = 2,880,586.12

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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.