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Finding the Third Proportional to 537,426 and 838,818

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Solution

The third proportional to 537,426 and 838,818 is: 1,309,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,426 : 838,818 = 838,818 : x
  2. Step 2: Convert to fraction form
    537,426/838,818 = 838,818/x
  3. Step 3: Cross multiply
    537,426x = 838,818 × 838,818
  4. Step 4: Simplify right side
    537,426x = 703,615,637,124
  5. Step 5: Solve for x
    x = 703,615,637,124/537,426
  6. Step 6: Final answer
    x = 1,309,232.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.