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Finding the Third Proportional to 961,490 and 2,051,696

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Solution

The third proportional to 961,490 and 2,051,696 is: 4,378,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,490 : 2,051,696 = 2,051,696 : x
  2. Step 2: Convert to fraction form
    961,490/2,051,696 = 2,051,696/x
  3. Step 3: Cross multiply
    961,490x = 2,051,696 × 2,051,696
  4. Step 4: Simplify right side
    961,490x = 4,209,456,476,416
  5. Step 5: Solve for x
    x = 4,209,456,476,416/961,490
  6. Step 6: Final answer
    x = 4,378,055.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.