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Finding the Third Proportional to 2,574,509.06 and 3,781,938.09

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Solution

The third proportional to 2,574,509.06 and 3,781,938.09 is: 5,555,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,509.06 : 3,781,938.09 = 3,781,938.09 : x
  2. Step 2: Convert to fraction form
    2,574,509.06/3,781,938.09 = 3,781,938.09/x
  3. Step 3: Cross multiply
    2,574,509.06x = 3,781,938.09 × 3,781,938.09
  4. Step 4: Simplify right side
    2,574,509.06x = 14,303,055,744,957.38
  5. Step 5: Solve for x
    x = 14,303,055,744,957.38/2,574,509.06
  6. Step 6: Final answer
    x = 5,555,643.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.