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Finding the Third Proportional to 749,080 and 1,650,854

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Solution

The third proportional to 749,080 and 1,650,854 is: 3,638,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,080 : 1,650,854 = 1,650,854 : x
  2. Step 2: Convert to fraction form
    749,080/1,650,854 = 1,650,854/x
  3. Step 3: Cross multiply
    749,080x = 1,650,854 × 1,650,854
  4. Step 4: Simplify right side
    749,080x = 2,725,318,929,316
  5. Step 5: Solve for x
    x = 2,725,318,929,316/749,080
  6. Step 6: Final answer
    x = 3,638,221.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.