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Finding the Third Proportional to 979,800 and 1,484,461

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Solution

The third proportional to 979,800 and 1,484,461 is: 2,249,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,800 : 1,484,461 = 1,484,461 : x
  2. Step 2: Convert to fraction form
    979,800/1,484,461 = 1,484,461/x
  3. Step 3: Cross multiply
    979,800x = 1,484,461 × 1,484,461
  4. Step 4: Simplify right side
    979,800x = 2,203,624,460,521
  5. Step 5: Solve for x
    x = 2,203,624,460,521/979,800
  6. Step 6: Final answer
    x = 2,249,055.38

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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.