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Finding the Third Proportional to 594,816,432 and 1,288,450,272

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Solution

The third proportional to 594,816,432 and 1,288,450,272 is: 2,790,951,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,816,432 : 1,288,450,272 = 1,288,450,272 : x
  2. Step 2: Convert to fraction form
    594,816,432/1,288,450,272 = 1,288,450,272/x
  3. Step 3: Cross multiply
    594,816,432x = 1,288,450,272 × 1,288,450,272
  4. Step 4: Simplify right side
    594,816,432x = 1,660,104,103,416,873,984
  5. Step 5: Solve for x
    x = 1,660,104,103,416,873,984/594,816,432
  6. Step 6: Final answer
    x = 2,790,951,988.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.