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Finding the Third Proportional to 554,056 and 1,213,206

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Solution

The third proportional to 554,056 and 1,213,206 is: 2,656,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,056 : 1,213,206 = 1,213,206 : x
  2. Step 2: Convert to fraction form
    554,056/1,213,206 = 1,213,206/x
  3. Step 3: Cross multiply
    554,056x = 1,213,206 × 1,213,206
  4. Step 4: Simplify right side
    554,056x = 1,471,868,798,436
  5. Step 5: Solve for x
    x = 1,471,868,798,436/554,056
  6. Step 6: Final answer
    x = 2,656,534.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.