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Finding the Third Proportional to 411,813 and 902,358

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Solution

The third proportional to 411,813 and 902,358 is: 1,977,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,813 : 902,358 = 902,358 : x
  2. Step 2: Convert to fraction form
    411,813/902,358 = 902,358/x
  3. Step 3: Cross multiply
    411,813x = 902,358 × 902,358
  4. Step 4: Simplify right side
    411,813x = 814,249,960,164
  5. Step 5: Solve for x
    x = 814,249,960,164/411,813
  6. Step 6: Final answer
    x = 1,977,232.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.