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Finding the Third Proportional to 1,014,597.14 and 1,605,394.69

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Solution

The third proportional to 1,014,597.14 and 1,605,394.69 is: 2,540,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,597.14 : 1,605,394.69 = 1,605,394.69 : x
  2. Step 2: Convert to fraction form
    1,014,597.14/1,605,394.69 = 1,605,394.69/x
  3. Step 3: Cross multiply
    1,014,597.14x = 1,605,394.69 × 1,605,394.69
  4. Step 4: Simplify right side
    1,014,597.14x = 2,577,292,102,653.22
  5. Step 5: Solve for x
    x = 2,577,292,102,653.22/1,014,597.14
  6. Step 6: Final answer
    x = 2,540,212.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.