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Finding the Third Proportional to 511,157,954 and 730,961,499

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Solution

The third proportional to 511,157,954 and 730,961,499 is: 1,045,282,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,157,954 : 730,961,499 = 730,961,499 : x
  2. Step 2: Convert to fraction form
    511,157,954/730,961,499 = 730,961,499/x
  3. Step 3: Cross multiply
    511,157,954x = 730,961,499 × 730,961,499
  4. Step 4: Simplify right side
    511,157,954x = 534,304,713,020,326,976
  5. Step 5: Solve for x
    x = 534,304,713,020,326,976/511,157,954
  6. Step 6: Final answer
    x = 1,045,282,987.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.