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Finding the Third Proportional to 1,900,546 and 2,945,291

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Solution

The third proportional to 1,900,546 and 2,945,291 is: 4,564,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,546 : 2,945,291 = 2,945,291 : x
  2. Step 2: Convert to fraction form
    1,900,546/2,945,291 = 2,945,291/x
  3. Step 3: Cross multiply
    1,900,546x = 2,945,291 × 2,945,291
  4. Step 4: Simplify right side
    1,900,546x = 8,674,739,074,681
  5. Step 5: Solve for x
    x = 8,674,739,074,681/1,900,546
  6. Step 6: Final answer
    x = 4,564,340.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.