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Finding the Third Proportional to 557,468 and 1,223,206

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Solution

The third proportional to 557,468 and 1,223,206 is: 2,683,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,468 : 1,223,206 = 1,223,206 : x
  2. Step 2: Convert to fraction form
    557,468/1,223,206 = 1,223,206/x
  3. Step 3: Cross multiply
    557,468x = 1,223,206 × 1,223,206
  4. Step 4: Simplify right side
    557,468x = 1,496,232,918,436
  5. Step 5: Solve for x
    x = 1,496,232,918,436/557,468
  6. Step 6: Final answer
    x = 2,683,979.92

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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.