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Finding the Third Proportional to 413,621 and 911,044

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Solution

The third proportional to 413,621 and 911,044 is: 2,006,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,621 : 911,044 = 911,044 : x
  2. Step 2: Convert to fraction form
    413,621/911,044 = 911,044/x
  3. Step 3: Cross multiply
    413,621x = 911,044 × 911,044
  4. Step 4: Simplify right side
    413,621x = 830,001,169,936
  5. Step 5: Solve for x
    x = 830,001,169,936/413,621
  6. Step 6: Final answer
    x = 2,006,670.77

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Why These Related Problems?

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