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Finding the Third Proportional to 521,526 and 1,083,018

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Solution

The third proportional to 521,526 and 1,083,018 is: 2,249,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,526 : 1,083,018 = 1,083,018 : x
  2. Step 2: Convert to fraction form
    521,526/1,083,018 = 1,083,018/x
  3. Step 3: Cross multiply
    521,526x = 1,083,018 × 1,083,018
  4. Step 4: Simplify right side
    521,526x = 1,172,927,988,324
  5. Step 5: Solve for x
    x = 1,172,927,988,324/521,526
  6. Step 6: Final answer
    x = 2,249,030.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.