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Finding the Third Proportional to 590,882 and 1,252,660

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Solution

The third proportional to 590,882 and 1,252,660 is: 2,655,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,882 : 1,252,660 = 1,252,660 : x
  2. Step 2: Convert to fraction form
    590,882/1,252,660 = 1,252,660/x
  3. Step 3: Cross multiply
    590,882x = 1,252,660 × 1,252,660
  4. Step 4: Simplify right side
    590,882x = 1,569,157,075,600
  5. Step 5: Solve for x
    x = 1,569,157,075,600/590,882
  6. Step 6: Final answer
    x = 2,655,618.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.