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Finding the Third Proportional to 966,072 and 2,118,768

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Solution

The third proportional to 966,072 and 2,118,768 is: 4,646,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,072 : 2,118,768 = 2,118,768 : x
  2. Step 2: Convert to fraction form
    966,072/2,118,768 = 2,118,768/x
  3. Step 3: Cross multiply
    966,072x = 2,118,768 × 2,118,768
  4. Step 4: Simplify right side
    966,072x = 4,489,177,837,824
  5. Step 5: Solve for x
    x = 4,489,177,837,824/966,072
  6. Step 6: Final answer
    x = 4,646,835.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.