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Finding the Third Proportional to 925,926 and 1,321,534

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Solution

The third proportional to 925,926 and 1,321,534 is: 1,886,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,926 : 1,321,534 = 1,321,534 : x
  2. Step 2: Convert to fraction form
    925,926/1,321,534 = 1,321,534/x
  3. Step 3: Cross multiply
    925,926x = 1,321,534 × 1,321,534
  4. Step 4: Simplify right side
    925,926x = 1,746,452,113,156
  5. Step 5: Solve for x
    x = 1,746,452,113,156/925,926
  6. Step 6: Final answer
    x = 1,886,168.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.