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Finding the Third Proportional to 286,196,839 and 617,717,065

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Solution

The third proportional to 286,196,839 and 617,717,065 is: 1,333,258,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196,839 : 617,717,065 = 617,717,065 : x
  2. Step 2: Convert to fraction form
    286,196,839/617,717,065 = 617,717,065/x
  3. Step 3: Cross multiply
    286,196,839x = 617,717,065 × 617,717,065
  4. Step 4: Simplify right side
    286,196,839x = 381,574,372,392,214,208
  5. Step 5: Solve for x
    x = 381,574,372,392,214,208/286,196,839
  6. Step 6: Final answer
    x = 1,333,258,514.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.