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Finding the Third Proportional to 591,034 and 1,255,886

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Solution

The third proportional to 591,034 and 1,255,886 is: 2,668,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,034 : 1,255,886 = 1,255,886 : x
  2. Step 2: Convert to fraction form
    591,034/1,255,886 = 1,255,886/x
  3. Step 3: Cross multiply
    591,034x = 1,255,886 × 1,255,886
  4. Step 4: Simplify right side
    591,034x = 1,577,249,644,996
  5. Step 5: Solve for x
    x = 1,577,249,644,996/591,034
  6. Step 6: Final answer
    x = 2,668,627.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.