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Finding the Third Proportional to 1,328,972.06 and 2,009,314.69

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Solution

The third proportional to 1,328,972.06 and 2,009,314.69 is: 3,037,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,972.06 : 2,009,314.69 = 2,009,314.69 : x
  2. Step 2: Convert to fraction form
    1,328,972.06/2,009,314.69 = 2,009,314.69/x
  3. Step 3: Cross multiply
    1,328,972.06x = 2,009,314.69 × 2,009,314.69
  4. Step 4: Simplify right side
    1,328,972.06x = 4,037,345,513,403.22
  5. Step 5: Solve for x
    x = 4,037,345,513,403.22/1,328,972.06
  6. Step 6: Final answer
    x = 3,037,946.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.