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Finding the Third Proportional to 966,336 and 1,421,088

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Solution

The third proportional to 966,336 and 1,421,088 is: 2,089,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,336 : 1,421,088 = 1,421,088 : x
  2. Step 2: Convert to fraction form
    966,336/1,421,088 = 1,421,088/x
  3. Step 3: Cross multiply
    966,336x = 1,421,088 × 1,421,088
  4. Step 4: Simplify right side
    966,336x = 2,019,491,103,744
  5. Step 5: Solve for x
    x = 2,019,491,103,744/966,336
  6. Step 6: Final answer
    x = 2,089,843.60

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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.