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Finding the Third Proportional to 470,476.50 and 1,001,643

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Solution

The third proportional to 470,476.50 and 1,001,643 is: 2,132,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,476.50 : 1,001,643 = 1,001,643 : x
  2. Step 2: Convert to fraction form
    470,476.50/1,001,643 = 1,001,643/x
  3. Step 3: Cross multiply
    470,476.50x = 1,001,643 × 1,001,643
  4. Step 4: Simplify right side
    470,476.50x = 1,003,288,699,449
  5. Step 5: Solve for x
    x = 1,003,288,699,449/470,476.50
  6. Step 6: Final answer
    x = 2,132,494.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.