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Finding the Third Proportional to 1,648,579.50 and 2,362,132.13

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Solution

The third proportional to 1,648,579.50 and 2,362,132.13 is: 3,384,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,579.50 : 2,362,132.13 = 2,362,132.13 : x
  2. Step 2: Convert to fraction form
    1,648,579.50/2,362,132.13 = 2,362,132.13/x
  3. Step 3: Cross multiply
    1,648,579.50x = 2,362,132.13 × 2,362,132.13
  4. Step 4: Simplify right side
    1,648,579.50x = 5,579,668,175,957.02
  5. Step 5: Solve for x
    x = 5,579,668,175,957.02/1,648,579.50
  6. Step 6: Final answer
    x = 3,384,530.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.