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Finding the Third Proportional to 647,673,696 and 1,001,777,328

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Solution

The third proportional to 647,673,696 and 1,001,777,328 is: 1,549,480,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,673,696 : 1,001,777,328 = 1,001,777,328 : x
  2. Step 2: Convert to fraction form
    647,673,696/1,001,777,328 = 1,001,777,328/x
  3. Step 3: Cross multiply
    647,673,696x = 1,001,777,328 × 1,001,777,328
  4. Step 4: Simplify right side
    647,673,696x = 1,003,557,814,894,819,584
  5. Step 5: Solve for x
    x = 1,003,557,814,894,819,584/647,673,696
  6. Step 6: Final answer
    x = 1,549,480,581.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.