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Finding the Third Proportional to 280,266,672 and 654,829,410

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Solution

The third proportional to 280,266,672 and 654,829,410 is: 1,529,976,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,266,672 : 654,829,410 = 654,829,410 : x
  2. Step 2: Convert to fraction form
    280,266,672/654,829,410 = 654,829,410/x
  3. Step 3: Cross multiply
    280,266,672x = 654,829,410 × 654,829,410
  4. Step 4: Simplify right side
    280,266,672x = 428,801,556,200,948,096
  5. Step 5: Solve for x
    x = 428,801,556,200,948,096/280,266,672
  6. Step 6: Final answer
    x = 1,529,976,979.21

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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.