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Finding the Third Proportional to 2,047,830 and 4,468,332

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Solution

The third proportional to 2,047,830 and 4,468,332 is: 9,749,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,830 : 4,468,332 = 4,468,332 : x
  2. Step 2: Convert to fraction form
    2,047,830/4,468,332 = 4,468,332/x
  3. Step 3: Cross multiply
    2,047,830x = 4,468,332 × 4,468,332
  4. Step 4: Simplify right side
    2,047,830x = 19,965,990,862,224
  5. Step 5: Solve for x
    x = 19,965,990,862,224/2,047,830
  6. Step 6: Final answer
    x = 9,749,828.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.