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Finding the Third Proportional to 898,446 and 1,357,025

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Solution

The third proportional to 898,446 and 1,357,025 is: 2,049,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,446 : 1,357,025 = 1,357,025 : x
  2. Step 2: Convert to fraction form
    898,446/1,357,025 = 1,357,025/x
  3. Step 3: Cross multiply
    898,446x = 1,357,025 × 1,357,025
  4. Step 4: Simplify right side
    898,446x = 1,841,516,850,625
  5. Step 5: Solve for x
    x = 1,841,516,850,625/898,446
  6. Step 6: Final answer
    x = 2,049,668.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.