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Finding the Third Proportional to 1,497,664.69 and 3,280,218.19

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Solution

The third proportional to 1,497,664.69 and 3,280,218.19 is: 7,184,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,664.69 : 3,280,218.19 = 3,280,218.19 : x
  2. Step 2: Convert to fraction form
    1,497,664.69/3,280,218.19 = 3,280,218.19/x
  3. Step 3: Cross multiply
    1,497,664.69x = 3,280,218.19 × 3,280,218.19
  4. Step 4: Simplify right side
    1,497,664.69x = 10,759,831,357,605.79
  5. Step 5: Solve for x
    x = 10,759,831,357,605.79/1,497,664.69
  6. Step 6: Final answer
    x = 7,184,406.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.