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Finding the Third Proportional to 2,301,840 and 3,484,746

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Solution

The third proportional to 2,301,840 and 3,484,746 is: 5,275,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,840 : 3,484,746 = 3,484,746 : x
  2. Step 2: Convert to fraction form
    2,301,840/3,484,746 = 3,484,746/x
  3. Step 3: Cross multiply
    2,301,840x = 3,484,746 × 3,484,746
  4. Step 4: Simplify right side
    2,301,840x = 12,143,454,684,516
  5. Step 5: Solve for x
    x = 12,143,454,684,516/2,301,840
  6. Step 6: Final answer
    x = 5,275,542.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.