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Finding the Third Proportional to 321,941,784 and 698,326,688

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Solution

The third proportional to 321,941,784 and 698,326,688 is: 1,514,746,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,941,784 : 698,326,688 = 698,326,688 : x
  2. Step 2: Convert to fraction form
    321,941,784/698,326,688 = 698,326,688/x
  3. Step 3: Cross multiply
    321,941,784x = 698,326,688 × 698,326,688
  4. Step 4: Simplify right side
    321,941,784x = 487,660,163,173,049,344
  5. Step 5: Solve for x
    x = 487,660,163,173,049,344/321,941,784
  6. Step 6: Final answer
    x = 1,514,746,415.06

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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.