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Finding the Third Proportional to 612,762 and 898,536

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Solution

The third proportional to 612,762 and 898,536 is: 1,317,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,762 : 898,536 = 898,536 : x
  2. Step 2: Convert to fraction form
    612,762/898,536 = 898,536/x
  3. Step 3: Cross multiply
    612,762x = 898,536 × 898,536
  4. Step 4: Simplify right side
    612,762x = 807,366,943,296
  5. Step 5: Solve for x
    x = 807,366,943,296/612,762
  6. Step 6: Final answer
    x = 1,317,586.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.