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Finding the Third Proportional to 726,769 and 1,018,423

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Solution

The third proportional to 726,769 and 1,018,423 is: 1,427,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,769 : 1,018,423 = 1,018,423 : x
  2. Step 2: Convert to fraction form
    726,769/1,018,423 = 1,018,423/x
  3. Step 3: Cross multiply
    726,769x = 1,018,423 × 1,018,423
  4. Step 4: Simplify right side
    726,769x = 1,037,185,406,929
  5. Step 5: Solve for x
    x = 1,037,185,406,929/726,769
  6. Step 6: Final answer
    x = 1,427,118.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.