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Finding the Third Proportional to 2,166,764 and 4,613,464

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Solution

The third proportional to 2,166,764 and 4,613,464 is: 9,822,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,764 : 4,613,464 = 4,613,464 : x
  2. Step 2: Convert to fraction form
    2,166,764/4,613,464 = 4,613,464/x
  3. Step 3: Cross multiply
    2,166,764x = 4,613,464 × 4,613,464
  4. Step 4: Simplify right side
    2,166,764x = 21,284,050,079,296
  5. Step 5: Solve for x
    x = 21,284,050,079,296/2,166,764
  6. Step 6: Final answer
    x = 9,822,966.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.