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Finding the Third Proportional to 1,877,972.25 and 4,055,320.50

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Solution

The third proportional to 1,877,972.25 and 4,055,320.50 is: 8,757,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,972.25 : 4,055,320.50 = 4,055,320.50 : x
  2. Step 2: Convert to fraction form
    1,877,972.25/4,055,320.50 = 4,055,320.50/x
  3. Step 3: Cross multiply
    1,877,972.25x = 4,055,320.50 × 4,055,320.50
  4. Step 4: Simplify right side
    1,877,972.25x = 16,445,624,357,720.25
  5. Step 5: Solve for x
    x = 16,445,624,357,720.25/1,877,972.25
  6. Step 6: Final answer
    x = 8,757,117.87

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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.