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Finding the Third Proportional to 738,220 and 1,609,854

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Solution

The third proportional to 738,220 and 1,609,854 is: 3,510,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,220 : 1,609,854 = 1,609,854 : x
  2. Step 2: Convert to fraction form
    738,220/1,609,854 = 1,609,854/x
  3. Step 3: Cross multiply
    738,220x = 1,609,854 × 1,609,854
  4. Step 4: Simplify right side
    738,220x = 2,591,629,901,316
  5. Step 5: Solve for x
    x = 2,591,629,901,316/738,220
  6. Step 6: Final answer
    x = 3,510,647.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.