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Finding the Third Proportional to 1,593,145.97 and 2,402,943.47

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Solution

The third proportional to 1,593,145.97 and 2,402,943.47 is: 3,624,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593,145.97 : 2,402,943.47 = 2,402,943.47 : x
  2. Step 2: Convert to fraction form
    1,593,145.97/2,402,943.47 = 2,402,943.47/x
  3. Step 3: Cross multiply
    1,593,145.97x = 2,402,943.47 × 2,402,943.47
  4. Step 4: Simplify right side
    1,593,145.97x = 5,774,137,314,008.28
  5. Step 5: Solve for x
    x = 5,774,137,314,008.28/1,593,145.97
  6. Step 6: Final answer
    x = 3,624,361.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.