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Finding the Third Proportional to 676,211 and 1,046,511

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Solution

The third proportional to 676,211 and 1,046,511 is: 1,619,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,211 : 1,046,511 = 1,046,511 : x
  2. Step 2: Convert to fraction form
    676,211/1,046,511 = 1,046,511/x
  3. Step 3: Cross multiply
    676,211x = 1,046,511 × 1,046,511
  4. Step 4: Simplify right side
    676,211x = 1,095,185,273,121
  5. Step 5: Solve for x
    x = 1,095,185,273,121/676,211
  6. Step 6: Final answer
    x = 1,619,591.03

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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.