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Finding the Third Proportional to 2,959,566 and 6,495,196

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Solution

The third proportional to 2,959,566 and 6,495,196 is: 14,254,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,566 : 6,495,196 = 6,495,196 : x
  2. Step 2: Convert to fraction form
    2,959,566/6,495,196 = 6,495,196/x
  3. Step 3: Cross multiply
    2,959,566x = 6,495,196 × 6,495,196
  4. Step 4: Simplify right side
    2,959,566x = 42,187,571,078,416
  5. Step 5: Solve for x
    x = 42,187,571,078,416/2,959,566
  6. Step 6: Final answer
    x = 14,254,647.84

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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.