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Finding the Third Proportional to 2,780,340 and 6,495,654

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Solution

The third proportional to 2,780,340 and 6,495,654 is: 15,175,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780,340 : 6,495,654 = 6,495,654 : x
  2. Step 2: Convert to fraction form
    2,780,340/6,495,654 = 6,495,654/x
  3. Step 3: Cross multiply
    2,780,340x = 6,495,654 × 6,495,654
  4. Step 4: Simplify right side
    2,780,340x = 42,193,520,887,716
  5. Step 5: Solve for x
    x = 42,193,520,887,716/2,780,340
  6. Step 6: Final answer
    x = 15,175,669.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.