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Finding the Third Proportional to 1,405,840 and 2,178,746

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Solution

The third proportional to 1,405,840 and 2,178,746 is: 3,376,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,840 : 2,178,746 = 2,178,746 : x
  2. Step 2: Convert to fraction form
    1,405,840/2,178,746 = 2,178,746/x
  3. Step 3: Cross multiply
    1,405,840x = 2,178,746 × 2,178,746
  4. Step 4: Simplify right side
    1,405,840x = 4,746,934,132,516
  5. Step 5: Solve for x
    x = 4,746,934,132,516/1,405,840
  6. Step 6: Final answer
    x = 3,376,582.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.