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Finding the Third Proportional to 686,751 and 1,010,273

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Solution

The third proportional to 686,751 and 1,010,273 is: 1,486,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,751 : 1,010,273 = 1,010,273 : x
  2. Step 2: Convert to fraction form
    686,751/1,010,273 = 1,010,273/x
  3. Step 3: Cross multiply
    686,751x = 1,010,273 × 1,010,273
  4. Step 4: Simplify right side
    686,751x = 1,020,651,534,529
  5. Step 5: Solve for x
    x = 1,020,651,534,529/686,751
  6. Step 6: Final answer
    x = 1,486,203.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.