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Finding the Third Proportional to 470,743 and 1,036,498

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Solution

The third proportional to 470,743 and 1,036,498 is: 2,282,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,743 : 1,036,498 = 1,036,498 : x
  2. Step 2: Convert to fraction form
    470,743/1,036,498 = 1,036,498/x
  3. Step 3: Cross multiply
    470,743x = 1,036,498 × 1,036,498
  4. Step 4: Simplify right side
    470,743x = 1,074,328,104,004
  5. Step 5: Solve for x
    x = 1,074,328,104,004/470,743
  6. Step 6: Final answer
    x = 2,282,196.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.