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Finding the Third Proportional to 501,460 and 1,084,653

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Solution

The third proportional to 501,460 and 1,084,653 is: 2,346,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,460 : 1,084,653 = 1,084,653 : x
  2. Step 2: Convert to fraction form
    501,460/1,084,653 = 1,084,653/x
  3. Step 3: Cross multiply
    501,460x = 1,084,653 × 1,084,653
  4. Step 4: Simplify right side
    501,460x = 1,176,472,130,409
  5. Step 5: Solve for x
    x = 1,176,472,130,409/501,460
  6. Step 6: Final answer
    x = 2,346,093.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.