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Finding the Third Proportional to 3,104,264.25 and 4,637,280.38

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Solution

The third proportional to 3,104,264.25 and 4,637,280.38 is: 6,927,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104,264.25 : 4,637,280.38 = 4,637,280.38 : x
  2. Step 2: Convert to fraction form
    3,104,264.25/4,637,280.38 = 4,637,280.38/x
  3. Step 3: Cross multiply
    3,104,264.25x = 4,637,280.38 × 4,637,280.38
  4. Step 4: Simplify right side
    3,104,264.25x = 21,504,369,276,360.14
  5. Step 5: Solve for x
    x = 21,504,369,276,360.14/3,104,264.25
  6. Step 6: Final answer
    x = 6,927,364.28

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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.