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Finding the Third Proportional to 590,640 and 1,265,202

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Solution

The third proportional to 590,640 and 1,265,202 is: 2,710,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,640 : 1,265,202 = 1,265,202 : x
  2. Step 2: Convert to fraction form
    590,640/1,265,202 = 1,265,202/x
  3. Step 3: Cross multiply
    590,640x = 1,265,202 × 1,265,202
  4. Step 4: Simplify right side
    590,640x = 1,600,736,100,804
  5. Step 5: Solve for x
    x = 1,600,736,100,804/590,640
  6. Step 6: Final answer
    x = 2,710,172.19

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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.