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Finding the Third Proportional to 962,984 and 2,050,384

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Solution

The third proportional to 962,984 and 2,050,384 is: 4,365,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,984 : 2,050,384 = 2,050,384 : x
  2. Step 2: Convert to fraction form
    962,984/2,050,384 = 2,050,384/x
  3. Step 3: Cross multiply
    962,984x = 2,050,384 × 2,050,384
  4. Step 4: Simplify right side
    962,984x = 4,204,074,547,456
  5. Step 5: Solve for x
    x = 4,204,074,547,456/962,984
  6. Step 6: Final answer
    x = 4,365,674.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.