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Finding the Third Proportional to 385,862 and 834,108

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Solution

The third proportional to 385,862 and 834,108 is: 1,803,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,862 : 834,108 = 834,108 : x
  2. Step 2: Convert to fraction form
    385,862/834,108 = 834,108/x
  3. Step 3: Cross multiply
    385,862x = 834,108 × 834,108
  4. Step 4: Simplify right side
    385,862x = 695,736,155,664
  5. Step 5: Solve for x
    x = 695,736,155,664/385,862
  6. Step 6: Final answer
    x = 1,803,069.89

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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.