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Finding the Third Proportional to 786,464 and 1,720,114

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Solution

The third proportional to 786,464 and 1,720,114 is: 3,762,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,464 : 1,720,114 = 1,720,114 : x
  2. Step 2: Convert to fraction form
    786,464/1,720,114 = 1,720,114/x
  3. Step 3: Cross multiply
    786,464x = 1,720,114 × 1,720,114
  4. Step 4: Simplify right side
    786,464x = 2,958,792,172,996
  5. Step 5: Solve for x
    x = 2,958,792,172,996/786,464
  6. Step 6: Final answer
    x = 3,762,145.72

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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.