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Finding the Third Proportional to 734,746 and 1,134,856

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Solution

The third proportional to 734,746 and 1,134,856 is: 1,752,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,746 : 1,134,856 = 1,134,856 : x
  2. Step 2: Convert to fraction form
    734,746/1,134,856 = 1,134,856/x
  3. Step 3: Cross multiply
    734,746x = 1,134,856 × 1,134,856
  4. Step 4: Simplify right side
    734,746x = 1,287,898,140,736
  5. Step 5: Solve for x
    x = 1,287,898,140,736/734,746
  6. Step 6: Final answer
    x = 1,752,848.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.