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Finding the Third Proportional to 973,377 and 2,096,516

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Solution

The third proportional to 973,377 and 2,096,516 is: 4,515,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,377 : 2,096,516 = 2,096,516 : x
  2. Step 2: Convert to fraction form
    973,377/2,096,516 = 2,096,516/x
  3. Step 3: Cross multiply
    973,377x = 2,096,516 × 2,096,516
  4. Step 4: Simplify right side
    973,377x = 4,395,379,338,256
  5. Step 5: Solve for x
    x = 4,395,379,338,256/973,377
  6. Step 6: Final answer
    x = 4,515,598.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.