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Finding the Third Proportional to 975,348 and 2,094,505

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Solution

The third proportional to 975,348 and 2,094,505 is: 4,497,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,348 : 2,094,505 = 2,094,505 : x
  2. Step 2: Convert to fraction form
    975,348/2,094,505 = 2,094,505/x
  3. Step 3: Cross multiply
    975,348x = 2,094,505 × 2,094,505
  4. Step 4: Simplify right side
    975,348x = 4,386,951,195,025
  5. Step 5: Solve for x
    x = 4,386,951,195,025/975,348
  6. Step 6: Final answer
    x = 4,497,831.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.