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Finding the Third Proportional to 321,941,794 and 698,326,708

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Solution

The third proportional to 321,941,794 and 698,326,708 is: 1,514,746,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,941,794 : 698,326,708 = 698,326,708 : x
  2. Step 2: Convert to fraction form
    321,941,794/698,326,708 = 698,326,708/x
  3. Step 3: Cross multiply
    321,941,794x = 698,326,708 × 698,326,708
  4. Step 4: Simplify right side
    321,941,794x = 487,660,191,106,117,248
  5. Step 5: Solve for x
    x = 487,660,191,106,117,248/321,941,794
  6. Step 6: Final answer
    x = 1,514,746,454.78

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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.