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Finding the Third Proportional to 1,407,478 and 3,036,140

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Solution

The third proportional to 1,407,478 and 3,036,140 is: 6,549,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,478 : 3,036,140 = 3,036,140 : x
  2. Step 2: Convert to fraction form
    1,407,478/3,036,140 = 3,036,140/x
  3. Step 3: Cross multiply
    1,407,478x = 3,036,140 × 3,036,140
  4. Step 4: Simplify right side
    1,407,478x = 9,218,146,099,600
  5. Step 5: Solve for x
    x = 9,218,146,099,600/1,407,478
  6. Step 6: Final answer
    x = 6,549,406.88

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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.