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Finding the Third Proportional to 473,836 and 1,118,561

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Solution

The third proportional to 473,836 and 1,118,561 is: 2,640,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,836 : 1,118,561 = 1,118,561 : x
  2. Step 2: Convert to fraction form
    473,836/1,118,561 = 1,118,561/x
  3. Step 3: Cross multiply
    473,836x = 1,118,561 × 1,118,561
  4. Step 4: Simplify right side
    473,836x = 1,251,178,710,721
  5. Step 5: Solve for x
    x = 1,251,178,710,721/473,836
  6. Step 6: Final answer
    x = 2,640,531.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.