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Finding the Third Proportional to 2,116,769 and 4,573,070

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Solution

The third proportional to 2,116,769 and 4,573,070 is: 9,879,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,769 : 4,573,070 = 4,573,070 : x
  2. Step 2: Convert to fraction form
    2,116,769/4,573,070 = 4,573,070/x
  3. Step 3: Cross multiply
    2,116,769x = 4,573,070 × 4,573,070
  4. Step 4: Simplify right side
    2,116,769x = 20,912,969,224,900
  5. Step 5: Solve for x
    x = 20,912,969,224,900/2,116,769
  6. Step 6: Final answer
    x = 9,879,665.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.