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Finding the Third Proportional to 1,460,739 and 3,154,758

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Solution

The third proportional to 1,460,739 and 3,154,758 is: 6,813,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,739 : 3,154,758 = 3,154,758 : x
  2. Step 2: Convert to fraction form
    1,460,739/3,154,758 = 3,154,758/x
  3. Step 3: Cross multiply
    1,460,739x = 3,154,758 × 3,154,758
  4. Step 4: Simplify right side
    1,460,739x = 9,952,498,038,564
  5. Step 5: Solve for x
    x = 9,952,498,038,564/1,460,739
  6. Step 6: Final answer
    x = 6,813,330.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.