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Finding the Third Proportional to 411,672 and 834,792

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Solution

The third proportional to 411,672 and 834,792 is: 1,692,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,672 : 834,792 = 834,792 : x
  2. Step 2: Convert to fraction form
    411,672/834,792 = 834,792/x
  3. Step 3: Cross multiply
    411,672x = 834,792 × 834,792
  4. Step 4: Simplify right side
    411,672x = 696,877,683,264
  5. Step 5: Solve for x
    x = 696,877,683,264/411,672
  6. Step 6: Final answer
    x = 1,692,798.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.