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Finding the Third Proportional to 706,256,614 and 1,102,298,781

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Solution

The third proportional to 706,256,614 and 1,102,298,781 is: 1,720,426,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,256,614 : 1,102,298,781 = 1,102,298,781 : x
  2. Step 2: Convert to fraction form
    706,256,614/1,102,298,781 = 1,102,298,781/x
  3. Step 3: Cross multiply
    706,256,614x = 1,102,298,781 × 1,102,298,781
  4. Step 4: Simplify right side
    706,256,614x = 1,215,062,602,594,085,888
  5. Step 5: Solve for x
    x = 1,215,062,602,594,085,888/706,256,614
  6. Step 6: Final answer
    x = 1,720,426,511.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.