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Finding the Third Proportional to 857,377.41 and 1,315,710.84

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Solution

The third proportional to 857,377.41 and 1,315,710.84 is: 2,019,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,377.41 : 1,315,710.84 = 1,315,710.84 : x
  2. Step 2: Convert to fraction form
    857,377.41/1,315,710.84 = 1,315,710.84/x
  3. Step 3: Cross multiply
    857,377.41x = 1,315,710.84 × 1,315,710.84
  4. Step 4: Simplify right side
    857,377.41x = 1,731,095,024,361.34
  5. Step 5: Solve for x
    x = 1,731,095,024,361.34/857,377.41
  6. Step 6: Final answer
    x = 2,019,058.37

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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.