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Finding the Third Proportional to 474,415 and 1,036,382

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Solution

The third proportional to 474,415 and 1,036,382 is: 2,264,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,415 : 1,036,382 = 1,036,382 : x
  2. Step 2: Convert to fraction form
    474,415/1,036,382 = 1,036,382/x
  3. Step 3: Cross multiply
    474,415x = 1,036,382 × 1,036,382
  4. Step 4: Simplify right side
    474,415x = 1,074,087,649,924
  5. Step 5: Solve for x
    x = 1,074,087,649,924/474,415
  6. Step 6: Final answer
    x = 2,264,025.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.