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Finding the Third Proportional to 738,951 and 1,591,854

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Solution

The third proportional to 738,951 and 1,591,854 is: 3,429,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,951 : 1,591,854 = 1,591,854 : x
  2. Step 2: Convert to fraction form
    738,951/1,591,854 = 1,591,854/x
  3. Step 3: Cross multiply
    738,951x = 1,591,854 × 1,591,854
  4. Step 4: Simplify right side
    738,951x = 2,533,999,157,316
  5. Step 5: Solve for x
    x = 2,533,999,157,316/738,951
  6. Step 6: Final answer
    x = 3,429,184.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.