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Finding the Third Proportional to 2,152,820 and 4,614,736

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Solution

The third proportional to 2,152,820 and 4,614,736 is: 9,892,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,820 : 4,614,736 = 4,614,736 : x
  2. Step 2: Convert to fraction form
    2,152,820/4,614,736 = 4,614,736/x
  3. Step 3: Cross multiply
    2,152,820x = 4,614,736 × 4,614,736
  4. Step 4: Simplify right side
    2,152,820x = 21,295,788,349,696
  5. Step 5: Solve for x
    x = 21,295,788,349,696/2,152,820
  6. Step 6: Final answer
    x = 9,892,043.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.