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Finding the Third Proportional to 1,823,644 and 4,221,764

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Solution

The third proportional to 1,823,644 and 4,221,764 is: 9,773,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,644 : 4,221,764 = 4,221,764 : x
  2. Step 2: Convert to fraction form
    1,823,644/4,221,764 = 4,221,764/x
  3. Step 3: Cross multiply
    1,823,644x = 4,221,764 × 4,221,764
  4. Step 4: Simplify right side
    1,823,644x = 17,823,291,271,696
  5. Step 5: Solve for x
    x = 17,823,291,271,696/1,823,644
  6. Step 6: Final answer
    x = 9,773,448.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.