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Finding the Third Proportional to 1,748,639.81 and 2,697,683.06

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Solution

The third proportional to 1,748,639.81 and 2,697,683.06 is: 4,161,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,639.81 : 2,697,683.06 = 2,697,683.06 : x
  2. Step 2: Convert to fraction form
    1,748,639.81/2,697,683.06 = 2,697,683.06/x
  3. Step 3: Cross multiply
    1,748,639.81x = 2,697,683.06 × 2,697,683.06
  4. Step 4: Simplify right side
    1,748,639.81x = 7,277,493,905,699.38
  5. Step 5: Solve for x
    x = 7,277,493,905,699.38/1,748,639.81
  6. Step 6: Final answer
    x = 4,161,802.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.