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Finding the Third Proportional to 974,386 and 2,125,836

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Solution

The third proportional to 974,386 and 2,125,836 is: 4,637,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,386 : 2,125,836 = 2,125,836 : x
  2. Step 2: Convert to fraction form
    974,386/2,125,836 = 2,125,836/x
  3. Step 3: Cross multiply
    974,386x = 2,125,836 × 2,125,836
  4. Step 4: Simplify right side
    974,386x = 4,519,178,698,896
  5. Step 5: Solve for x
    x = 4,519,178,698,896/974,386
  6. Step 6: Final answer
    x = 4,637,975.81

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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.