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Finding the Third Proportional to 783,938 and 1,717,346

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Solution

The third proportional to 783,938 and 1,717,346 is: 3,762,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,938 : 1,717,346 = 1,717,346 : x
  2. Step 2: Convert to fraction form
    783,938/1,717,346 = 1,717,346/x
  3. Step 3: Cross multiply
    783,938x = 1,717,346 × 1,717,346
  4. Step 4: Simplify right side
    783,938x = 2,949,277,283,716
  5. Step 5: Solve for x
    x = 2,949,277,283,716/783,938
  6. Step 6: Final answer
    x = 3,762,130.79

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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.