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Finding the Third Proportional to 511,577,932 and 791,813,346

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Solution

The third proportional to 511,577,932 and 791,813,346 is: 1,225,557,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,577,932 : 791,813,346 = 791,813,346 : x
  2. Step 2: Convert to fraction form
    511,577,932/791,813,346 = 791,813,346/x
  3. Step 3: Cross multiply
    511,577,932x = 791,813,346 × 791,813,346
  4. Step 4: Simplify right side
    511,577,932x = 626,968,374,903,715,712
  5. Step 5: Solve for x
    x = 626,968,374,903,715,712/511,577,932
  6. Step 6: Final answer
    x = 1,225,557,897.80

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