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Finding the Third Proportional to 2,116,818 and 4,506,741

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Solution

The third proportional to 2,116,818 and 4,506,741 is: 9,594,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,818 : 4,506,741 = 4,506,741 : x
  2. Step 2: Convert to fraction form
    2,116,818/4,506,741 = 4,506,741/x
  3. Step 3: Cross multiply
    2,116,818x = 4,506,741 × 4,506,741
  4. Step 4: Simplify right side
    2,116,818x = 20,310,714,441,081
  5. Step 5: Solve for x
    x = 20,310,714,441,081/2,116,818
  6. Step 6: Final answer
    x = 9,594,927.12

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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.