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Finding the Third Proportional to 814,905 and 1,106,746

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Solution

The third proportional to 814,905 and 1,106,746 is: 1,503,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,905 : 1,106,746 = 1,106,746 : x
  2. Step 2: Convert to fraction form
    814,905/1,106,746 = 1,106,746/x
  3. Step 3: Cross multiply
    814,905x = 1,106,746 × 1,106,746
  4. Step 4: Simplify right side
    814,905x = 1,224,886,708,516
  5. Step 5: Solve for x
    x = 1,224,886,708,516/814,905
  6. Step 6: Final answer
    x = 1,503,103.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.