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Finding the Third Proportional to 411,541 and 898,492

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Solution

The third proportional to 411,541 and 898,492 is: 1,961,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,541 : 898,492 = 898,492 : x
  2. Step 2: Convert to fraction form
    411,541/898,492 = 898,492/x
  3. Step 3: Cross multiply
    411,541x = 898,492 × 898,492
  4. Step 4: Simplify right side
    411,541x = 807,287,874,064
  5. Step 5: Solve for x
    x = 807,287,874,064/411,541
  6. Step 6: Final answer
    x = 1,961,621.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.