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Finding the Third Proportional to 902,664.84 and 1,321,590.94

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Solution

The third proportional to 902,664.84 and 1,321,590.94 is: 1,934,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,664.84 : 1,321,590.94 = 1,321,590.94 : x
  2. Step 2: Convert to fraction form
    902,664.84/1,321,590.94 = 1,321,590.94/x
  3. Step 3: Cross multiply
    902,664.84x = 1,321,590.94 × 1,321,590.94
  4. Step 4: Simplify right side
    902,664.84x = 1,746,602,606,082.13
  5. Step 5: Solve for x
    x = 1,746,602,606,082.13/902,664.84
  6. Step 6: Final answer
    x = 1,934,940.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.