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Finding the Third Proportional to 845,912,724 and 1,293,182,610

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Solution

The third proportional to 845,912,724 and 1,293,182,610 is: 1,976,943,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,912,724 : 1,293,182,610 = 1,293,182,610 : x
  2. Step 2: Convert to fraction form
    845,912,724/1,293,182,610 = 1,293,182,610/x
  3. Step 3: Cross multiply
    845,912,724x = 1,293,182,610 × 1,293,182,610
  4. Step 4: Simplify right side
    845,912,724x = 1,672,321,262,806,412,032
  5. Step 5: Solve for x
    x = 1,672,321,262,806,412,032/845,912,724
  6. Step 6: Final answer
    x = 1,976,943,028.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.