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Finding the Third Proportional to 550,428 and 1,116,346

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Solution

The third proportional to 550,428 and 1,116,346 is: 2,264,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,428 : 1,116,346 = 1,116,346 : x
  2. Step 2: Convert to fraction form
    550,428/1,116,346 = 1,116,346/x
  3. Step 3: Cross multiply
    550,428x = 1,116,346 × 1,116,346
  4. Step 4: Simplify right side
    550,428x = 1,246,228,391,716
  5. Step 5: Solve for x
    x = 1,246,228,391,716/550,428
  6. Step 6: Final answer
    x = 2,264,107.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.