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Finding the Third Proportional to 769,773 and 1,688,262

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Solution

The third proportional to 769,773 and 1,688,262 is: 3,702,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,773 : 1,688,262 = 1,688,262 : x
  2. Step 2: Convert to fraction form
    769,773/1,688,262 = 1,688,262/x
  3. Step 3: Cross multiply
    769,773x = 1,688,262 × 1,688,262
  4. Step 4: Simplify right side
    769,773x = 2,850,228,580,644
  5. Step 5: Solve for x
    x = 2,850,228,580,644/769,773
  6. Step 6: Final answer
    x = 3,702,687.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.