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Finding the Third Proportional to 484,946 and 1,053,831

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Solution

The third proportional to 484,946 and 1,053,831 is: 2,290,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,946 : 1,053,831 = 1,053,831 : x
  2. Step 2: Convert to fraction form
    484,946/1,053,831 = 1,053,831/x
  3. Step 3: Cross multiply
    484,946x = 1,053,831 × 1,053,831
  4. Step 4: Simplify right side
    484,946x = 1,110,559,776,561
  5. Step 5: Solve for x
    x = 1,110,559,776,561/484,946
  6. Step 6: Final answer
    x = 2,290,068.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.