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Finding the Third Proportional to 476,390 and 1,021,853

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Solution

The third proportional to 476,390 and 1,021,853 is: 2,191,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,390 : 1,021,853 = 1,021,853 : x
  2. Step 2: Convert to fraction form
    476,390/1,021,853 = 1,021,853/x
  3. Step 3: Cross multiply
    476,390x = 1,021,853 × 1,021,853
  4. Step 4: Simplify right side
    476,390x = 1,044,183,553,609
  5. Step 5: Solve for x
    x = 1,044,183,553,609/476,390
  6. Step 6: Final answer
    x = 2,191,867.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.