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Finding the Third Proportional to 1,585,174 and 3,428,900

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Solution

The third proportional to 1,585,174 and 3,428,900 is: 7,417,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,174 : 3,428,900 = 3,428,900 : x
  2. Step 2: Convert to fraction form
    1,585,174/3,428,900 = 3,428,900/x
  3. Step 3: Cross multiply
    1,585,174x = 3,428,900 × 3,428,900
  4. Step 4: Simplify right side
    1,585,174x = 11,757,355,210,000
  5. Step 5: Solve for x
    x = 11,757,355,210,000/1,585,174
  6. Step 6: Final answer
    x = 7,417,075.48

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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.