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Finding the Third Proportional to 1,461,503.25 and 2,295,860.63

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Solution

The third proportional to 1,461,503.25 and 2,295,860.63 is: 3,606,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,503.25 : 2,295,860.63 = 2,295,860.63 : x
  2. Step 2: Convert to fraction form
    1,461,503.25/2,295,860.63 = 2,295,860.63/x
  3. Step 3: Cross multiply
    1,461,503.25x = 2,295,860.63 × 2,295,860.63
  4. Step 4: Simplify right side
    1,461,503.25x = 5,270,976,009,425.39
  5. Step 5: Solve for x
    x = 5,270,976,009,425.39/1,461,503.25
  6. Step 6: Final answer
    x = 3,606,544.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.