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Finding the Third Proportional to 1,375,986 and 2,023,534

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Solution

The third proportional to 1,375,986 and 2,023,534 is: 2,975,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,986 : 2,023,534 = 2,023,534 : x
  2. Step 2: Convert to fraction form
    1,375,986/2,023,534 = 2,023,534/x
  3. Step 3: Cross multiply
    1,375,986x = 2,023,534 × 2,023,534
  4. Step 4: Simplify right side
    1,375,986x = 4,094,689,849,156
  5. Step 5: Solve for x
    x = 4,094,689,849,156/1,375,986
  6. Step 6: Final answer
    x = 2,975,822.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.