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Finding the Third Proportional to 410,262 and 886,136

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Solution

The third proportional to 410,262 and 886,136 is: 1,913,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,262 : 886,136 = 886,136 : x
  2. Step 2: Convert to fraction form
    410,262/886,136 = 886,136/x
  3. Step 3: Cross multiply
    410,262x = 886,136 × 886,136
  4. Step 4: Simplify right side
    410,262x = 785,237,010,496
  5. Step 5: Solve for x
    x = 785,237,010,496/410,262
  6. Step 6: Final answer
    x = 1,913,989.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.