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Finding the Third Proportional to 1,575,399 and 3,457,140

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Solution

The third proportional to 1,575,399 and 3,457,140 is: 7,586,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,399 : 3,457,140 = 3,457,140 : x
  2. Step 2: Convert to fraction form
    1,575,399/3,457,140 = 3,457,140/x
  3. Step 3: Cross multiply
    1,575,399x = 3,457,140 × 3,457,140
  4. Step 4: Simplify right side
    1,575,399x = 11,951,816,979,600
  5. Step 5: Solve for x
    x = 11,951,816,979,600/1,575,399
  6. Step 6: Final answer
    x = 7,586,533.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.