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Finding the Third Proportional to 979,524 and 1,484,076

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Solution

The third proportional to 979,524 and 1,484,076 is: 2,248,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,524 : 1,484,076 = 1,484,076 : x
  2. Step 2: Convert to fraction form
    979,524/1,484,076 = 1,484,076/x
  3. Step 3: Cross multiply
    979,524x = 1,484,076 × 1,484,076
  4. Step 4: Simplify right side
    979,524x = 2,202,481,573,776
  5. Step 5: Solve for x
    x = 2,202,481,573,776/979,524
  6. Step 6: Final answer
    x = 2,248,522.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.