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Finding the Third Proportional to 407,106 and 868,315

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Solution

The third proportional to 407,106 and 868,315 is: 1,852,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,106 : 868,315 = 868,315 : x
  2. Step 2: Convert to fraction form
    407,106/868,315 = 868,315/x
  3. Step 3: Cross multiply
    407,106x = 868,315 × 868,315
  4. Step 4: Simplify right side
    407,106x = 753,970,939,225
  5. Step 5: Solve for x
    x = 753,970,939,225/407,106
  6. Step 6: Final answer
    x = 1,852,026.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.