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Finding the Third Proportional to 765,780 and 1,096,101

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Solution

The third proportional to 765,780 and 1,096,101 is: 1,568,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,780 : 1,096,101 = 1,096,101 : x
  2. Step 2: Convert to fraction form
    765,780/1,096,101 = 1,096,101/x
  3. Step 3: Cross multiply
    765,780x = 1,096,101 × 1,096,101
  4. Step 4: Simplify right side
    765,780x = 1,201,437,402,201
  5. Step 5: Solve for x
    x = 1,201,437,402,201/765,780
  6. Step 6: Final answer
    x = 1,568,906.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.