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Finding the Third Proportional to 553,142 and 1,206,396

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Solution

The third proportional to 553,142 and 1,206,396 is: 2,631,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,142 : 1,206,396 = 1,206,396 : x
  2. Step 2: Convert to fraction form
    553,142/1,206,396 = 1,206,396/x
  3. Step 3: Cross multiply
    553,142x = 1,206,396 × 1,206,396
  4. Step 4: Simplify right side
    553,142x = 1,455,391,308,816
  5. Step 5: Solve for x
    x = 1,455,391,308,816/553,142
  6. Step 6: Final answer
    x = 2,631,135.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.