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Finding the Third Proportional to 557,476 and 1,223,222

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Solution

The third proportional to 557,476 and 1,223,222 is: 2,684,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,476 : 1,223,222 = 1,223,222 : x
  2. Step 2: Convert to fraction form
    557,476/1,223,222 = 1,223,222/x
  3. Step 3: Cross multiply
    557,476x = 1,223,222 × 1,223,222
  4. Step 4: Simplify right side
    557,476x = 1,496,272,061,284
  5. Step 5: Solve for x
    x = 1,496,272,061,284/557,476
  6. Step 6: Final answer
    x = 2,684,011.62

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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.