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Finding the Third Proportional to 720,146 and 1,569,892

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Solution

The third proportional to 720,146 and 1,569,892 is: 3,422,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,146 : 1,569,892 = 1,569,892 : x
  2. Step 2: Convert to fraction form
    720,146/1,569,892 = 1,569,892/x
  3. Step 3: Cross multiply
    720,146x = 1,569,892 × 1,569,892
  4. Step 4: Simplify right side
    720,146x = 2,464,560,891,664
  5. Step 5: Solve for x
    x = 2,464,560,891,664/720,146
  6. Step 6: Final answer
    x = 3,422,307.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.