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Finding the Third Proportional to 811,464 and 1,261,428

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Solution

The third proportional to 811,464 and 1,261,428 is: 1,960,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,464 : 1,261,428 = 1,261,428 : x
  2. Step 2: Convert to fraction form
    811,464/1,261,428 = 1,261,428/x
  3. Step 3: Cross multiply
    811,464x = 1,261,428 × 1,261,428
  4. Step 4: Simplify right side
    811,464x = 1,591,200,599,184
  5. Step 5: Solve for x
    x = 1,591,200,599,184/811,464
  6. Step 6: Final answer
    x = 1,960,901.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.