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Finding the Third Proportional to 420,984 and 901,746

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Solution

The third proportional to 420,984 and 901,746 is: 1,931,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,984 : 901,746 = 901,746 : x
  2. Step 2: Convert to fraction form
    420,984/901,746 = 901,746/x
  3. Step 3: Cross multiply
    420,984x = 901,746 × 901,746
  4. Step 4: Simplify right side
    420,984x = 813,145,848,516
  5. Step 5: Solve for x
    x = 813,145,848,516/420,984
  6. Step 6: Final answer
    x = 1,931,536.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.