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Finding the Third Proportional to 411,232 and 917,020

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Solution

The third proportional to 411,232 and 917,020 is: 2,044,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,232 : 917,020 = 917,020 : x
  2. Step 2: Convert to fraction form
    411,232/917,020 = 917,020/x
  3. Step 3: Cross multiply
    411,232x = 917,020 × 917,020
  4. Step 4: Simplify right side
    411,232x = 840,925,680,400
  5. Step 5: Solve for x
    x = 840,925,680,400/411,232
  6. Step 6: Final answer
    x = 2,044,893.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.