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Finding the Third Proportional to 430,388,511 and 920,613,339

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Solution

The third proportional to 430,388,511 and 920,613,339 is: 1,969,218,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,388,511 : 920,613,339 = 920,613,339 : x
  2. Step 2: Convert to fraction form
    430,388,511/920,613,339 = 920,613,339/x
  3. Step 3: Cross multiply
    430,388,511x = 920,613,339 × 920,613,339
  4. Step 4: Simplify right side
    430,388,511x = 847,528,919,944,728,960
  5. Step 5: Solve for x
    x = 847,528,919,944,728,960/430,388,511
  6. Step 6: Final answer
    x = 1,969,218,272.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.