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Finding the Third Proportional to 750,006 and 1,642,476

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Solution

The third proportional to 750,006 and 1,642,476 is: 3,596,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,006 : 1,642,476 = 1,642,476 : x
  2. Step 2: Convert to fraction form
    750,006/1,642,476 = 1,642,476/x
  3. Step 3: Cross multiply
    750,006x = 1,642,476 × 1,642,476
  4. Step 4: Simplify right side
    750,006x = 2,697,727,410,576
  5. Step 5: Solve for x
    x = 2,697,727,410,576/750,006
  6. Step 6: Final answer
    x = 3,596,941.11

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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.