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Finding the Third Proportional to 902,376 and 2,006,494.50

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Solution

The third proportional to 902,376 and 2,006,494.50 is: 4,461,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,376 : 2,006,494.50 = 2,006,494.50 : x
  2. Step 2: Convert to fraction form
    902,376/2,006,494.50 = 2,006,494.50/x
  3. Step 3: Cross multiply
    902,376x = 2,006,494.50 × 2,006,494.50
  4. Step 4: Simplify right side
    902,376x = 4,026,020,178,530.25
  5. Step 5: Solve for x
    x = 4,026,020,178,530.25/902,376
  6. Step 6: Final answer
    x = 4,461,577.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.