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Finding the Third Proportional to 590,169 and 1,264,482

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Solution

The third proportional to 590,169 and 1,264,482 is: 2,709,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,169 : 1,264,482 = 1,264,482 : x
  2. Step 2: Convert to fraction form
    590,169/1,264,482 = 1,264,482/x
  3. Step 3: Cross multiply
    590,169x = 1,264,482 × 1,264,482
  4. Step 4: Simplify right side
    590,169x = 1,598,914,728,324
  5. Step 5: Solve for x
    x = 1,598,914,728,324/590,169
  6. Step 6: Final answer
    x = 2,709,248.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.