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Finding the Third Proportional to 1,484,292 and 3,178,464

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Solution

The third proportional to 1,484,292 and 3,178,464 is: 6,806,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484,292 : 3,178,464 = 3,178,464 : x
  2. Step 2: Convert to fraction form
    1,484,292/3,178,464 = 3,178,464/x
  3. Step 3: Cross multiply
    1,484,292x = 3,178,464 × 3,178,464
  4. Step 4: Simplify right side
    1,484,292x = 10,102,633,399,296
  5. Step 5: Solve for x
    x = 10,102,633,399,296/1,484,292
  6. Step 6: Final answer
    x = 6,806,365.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.