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Finding the Third Proportional to 521,358 and 1,101,828

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Solution

The third proportional to 521,358 and 1,101,828 is: 2,328,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,358 : 1,101,828 = 1,101,828 : x
  2. Step 2: Convert to fraction form
    521,358/1,101,828 = 1,101,828/x
  3. Step 3: Cross multiply
    521,358x = 1,101,828 × 1,101,828
  4. Step 4: Simplify right side
    521,358x = 1,214,024,941,584
  5. Step 5: Solve for x
    x = 1,214,024,941,584/521,358
  6. Step 6: Final answer
    x = 2,328,582.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.