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Finding the Third Proportional to 617,796 and 957,492

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Solution

The third proportional to 617,796 and 957,492 is: 1,483,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,796 : 957,492 = 957,492 : x
  2. Step 2: Convert to fraction form
    617,796/957,492 = 957,492/x
  3. Step 3: Cross multiply
    617,796x = 957,492 × 957,492
  4. Step 4: Simplify right side
    617,796x = 916,790,930,064
  5. Step 5: Solve for x
    x = 916,790,930,064/617,796
  6. Step 6: Final answer
    x = 1,483,970.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.