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Finding the Third Proportional to 2,051,970.25 and 3,066,470

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Solution

The third proportional to 2,051,970.25 and 3,066,470 is: 4,582,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,970.25 : 3,066,470 = 3,066,470 : x
  2. Step 2: Convert to fraction form
    2,051,970.25/3,066,470 = 3,066,470/x
  3. Step 3: Cross multiply
    2,051,970.25x = 3,066,470 × 3,066,470
  4. Step 4: Simplify right side
    2,051,970.25x = 9,403,238,260,900
  5. Step 5: Solve for x
    x = 9,403,238,260,900/2,051,970.25
  6. Step 6: Final answer
    x = 4,582,541.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.