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Finding the Third Proportional to 387,810,954 and 829,369,580

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Solution

The third proportional to 387,810,954 and 829,369,580 is: 1,773,683,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,810,954 : 829,369,580 = 829,369,580 : x
  2. Step 2: Convert to fraction form
    387,810,954/829,369,580 = 829,369,580/x
  3. Step 3: Cross multiply
    387,810,954x = 829,369,580 × 829,369,580
  4. Step 4: Simplify right side
    387,810,954x = 687,853,900,229,376,384
  5. Step 5: Solve for x
    x = 687,853,900,229,376,384/387,810,954
  6. Step 6: Final answer
    x = 1,773,683,525.79

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