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Finding the Third Proportional to 676,896 and 898,518

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Solution

The third proportional to 676,896 and 898,518 is: 1,192,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,896 : 898,518 = 898,518 : x
  2. Step 2: Convert to fraction form
    676,896/898,518 = 898,518/x
  3. Step 3: Cross multiply
    676,896x = 898,518 × 898,518
  4. Step 4: Simplify right side
    676,896x = 807,334,596,324
  5. Step 5: Solve for x
    x = 807,334,596,324/676,896
  6. Step 6: Final answer
    x = 1,192,701.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.