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Finding the Third Proportional to 613,632 and 1,434,368

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Solution

The third proportional to 613,632 and 1,434,368 is: 3,352,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,632 : 1,434,368 = 1,434,368 : x
  2. Step 2: Convert to fraction form
    613,632/1,434,368 = 1,434,368/x
  3. Step 3: Cross multiply
    613,632x = 1,434,368 × 1,434,368
  4. Step 4: Simplify right side
    613,632x = 2,057,411,559,424
  5. Step 5: Solve for x
    x = 2,057,411,559,424/613,632
  6. Step 6: Final answer
    x = 3,352,842.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.