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Finding the Third Proportional to 440,178 and 964,737

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Solution

The third proportional to 440,178 and 964,737 is: 2,114,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,178 : 964,737 = 964,737 : x
  2. Step 2: Convert to fraction form
    440,178/964,737 = 964,737/x
  3. Step 3: Cross multiply
    440,178x = 964,737 × 964,737
  4. Step 4: Simplify right side
    440,178x = 930,717,479,169
  5. Step 5: Solve for x
    x = 930,717,479,169/440,178
  6. Step 6: Final answer
    x = 2,114,411.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.