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Finding the Third Proportional to 1,218,537 and 2,640,465

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Solution

The third proportional to 1,218,537 and 2,640,465 is: 5,721,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,537 : 2,640,465 = 2,640,465 : x
  2. Step 2: Convert to fraction form
    1,218,537/2,640,465 = 2,640,465/x
  3. Step 3: Cross multiply
    1,218,537x = 2,640,465 × 2,640,465
  4. Step 4: Simplify right side
    1,218,537x = 6,972,055,416,225
  5. Step 5: Solve for x
    x = 6,972,055,416,225/1,218,537
  6. Step 6: Final answer
    x = 5,721,660.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.