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Finding the Third Proportional to 420,719 and 917,588

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Solution

The third proportional to 420,719 and 917,588 is: 2,001,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,719 : 917,588 = 917,588 : x
  2. Step 2: Convert to fraction form
    420,719/917,588 = 917,588/x
  3. Step 3: Cross multiply
    420,719x = 917,588 × 917,588
  4. Step 4: Simplify right side
    420,719x = 841,967,737,744
  5. Step 5: Solve for x
    x = 841,967,737,744/420,719
  6. Step 6: Final answer
    x = 2,001,259.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.