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Finding the Third Proportional to 676,111 and 1,046,364

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Solution

The third proportional to 676,111 and 1,046,364 is: 1,619,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,111 : 1,046,364 = 1,046,364 : x
  2. Step 2: Convert to fraction form
    676,111/1,046,364 = 1,046,364/x
  3. Step 3: Cross multiply
    676,111x = 1,046,364 × 1,046,364
  4. Step 4: Simplify right side
    676,111x = 1,094,877,620,496
  5. Step 5: Solve for x
    x = 1,094,877,620,496/676,111
  6. Step 6: Final answer
    x = 1,619,375.55

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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.