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Finding the Third Proportional to 527,862.94 and 1,130,448.38

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Solution

The third proportional to 527,862.94 and 1,130,448.38 is: 2,420,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,862.94 : 1,130,448.38 = 1,130,448.38 : x
  2. Step 2: Convert to fraction form
    527,862.94/1,130,448.38 = 1,130,448.38/x
  3. Step 3: Cross multiply
    527,862.94x = 1,130,448.38 × 1,130,448.38
  4. Step 4: Simplify right side
    527,862.94x = 1,277,913,528,540.14
  5. Step 5: Solve for x
    x = 1,277,913,528,540.14/527,862.94
  6. Step 6: Final answer
    x = 2,420,919.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.