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Finding the Third Proportional to 798,228,804 and 1,706,772,069

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Solution

The third proportional to 798,228,804 and 1,706,772,069 is: 3,649,418,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,228,804 : 1,706,772,069 = 1,706,772,069 : x
  2. Step 2: Convert to fraction form
    798,228,804/1,706,772,069 = 1,706,772,069/x
  3. Step 3: Cross multiply
    798,228,804x = 1,706,772,069 × 1,706,772,069
  4. Step 4: Simplify right side
    798,228,804x = 2,913,070,895,518,540,800
  5. Step 5: Solve for x
    x = 2,913,070,895,518,540,800/798,228,804
  6. Step 6: Final answer
    x = 3,649,418,413.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.