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Finding the Third Proportional to 473,606 and 1,014,604

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Solution

The third proportional to 473,606 and 1,014,604 is: 2,173,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,606 : 1,014,604 = 1,014,604 : x
  2. Step 2: Convert to fraction form
    473,606/1,014,604 = 1,014,604/x
  3. Step 3: Cross multiply
    473,606x = 1,014,604 × 1,014,604
  4. Step 4: Simplify right side
    473,606x = 1,029,421,276,816
  5. Step 5: Solve for x
    x = 1,029,421,276,816/473,606
  6. Step 6: Final answer
    x = 2,173,581.58

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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.