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Finding the Third Proportional to 420,306 and 912,057

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Solution

The third proportional to 420,306 and 912,057 is: 1,979,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,306 : 912,057 = 912,057 : x
  2. Step 2: Convert to fraction form
    420,306/912,057 = 912,057/x
  3. Step 3: Cross multiply
    420,306x = 912,057 × 912,057
  4. Step 4: Simplify right side
    420,306x = 831,847,971,249
  5. Step 5: Solve for x
    x = 831,847,971,249/420,306
  6. Step 6: Final answer
    x = 1,979,148.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.