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Finding the Third Proportional to 617,490 and 923,643

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Solution

The third proportional to 617,490 and 923,643 is: 1,381,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,490 : 923,643 = 923,643 : x
  2. Step 2: Convert to fraction form
    617,490/923,643 = 923,643/x
  3. Step 3: Cross multiply
    617,490x = 923,643 × 923,643
  4. Step 4: Simplify right side
    617,490x = 853,116,391,449
  5. Step 5: Solve for x
    x = 853,116,391,449/617,490
  6. Step 6: Final answer
    x = 1,381,587.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.