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Finding the Third Proportional to 617,280 and 1,352,736

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Solution

The third proportional to 617,280 and 1,352,736 is: 2,964,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,280 : 1,352,736 = 1,352,736 : x
  2. Step 2: Convert to fraction form
    617,280/1,352,736 = 1,352,736/x
  3. Step 3: Cross multiply
    617,280x = 1,352,736 × 1,352,736
  4. Step 4: Simplify right side
    617,280x = 1,829,894,685,696
  5. Step 5: Solve for x
    x = 1,829,894,685,696/617,280
  6. Step 6: Final answer
    x = 2,964,448.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.