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Finding the Third Proportional to 1,000,980.47 and 1,551,232.69

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Solution

The third proportional to 1,000,980.47 and 1,551,232.69 is: 2,403,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,980.47 : 1,551,232.69 = 1,551,232.69 : x
  2. Step 2: Convert to fraction form
    1,000,980.47/1,551,232.69 = 1,551,232.69/x
  3. Step 3: Cross multiply
    1,000,980.47x = 1,551,232.69 × 1,551,232.69
  4. Step 4: Simplify right side
    1,000,980.47x = 2,406,322,850,768.47
  5. Step 5: Solve for x
    x = 2,406,322,850,768.47/1,000,980.47
  6. Step 6: Final answer
    x = 2,403,965.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.