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Finding the Third Proportional to 966,033 and 1,419,495

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Solution

The third proportional to 966,033 and 1,419,495 is: 2,085,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,033 : 1,419,495 = 1,419,495 : x
  2. Step 2: Convert to fraction form
    966,033/1,419,495 = 1,419,495/x
  3. Step 3: Cross multiply
    966,033x = 1,419,495 × 1,419,495
  4. Step 4: Simplify right side
    966,033x = 2,014,966,055,025
  5. Step 5: Solve for x
    x = 2,014,966,055,025/966,033
  6. Step 6: Final answer
    x = 2,085,814.93

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Why These Related Problems?

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