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Finding the Third Proportional to 1,762,548 and 2,378,097

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Solution

The third proportional to 1,762,548 and 2,378,097 is: 3,208,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,548 : 2,378,097 = 2,378,097 : x
  2. Step 2: Convert to fraction form
    1,762,548/2,378,097 = 2,378,097/x
  3. Step 3: Cross multiply
    1,762,548x = 2,378,097 × 2,378,097
  4. Step 4: Simplify right side
    1,762,548x = 5,655,345,341,409
  5. Step 5: Solve for x
    x = 5,655,345,341,409/1,762,548
  6. Step 6: Final answer
    x = 3,208,619.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.