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Finding the Third Proportional to 484,943 and 1,053,825

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Solution

The third proportional to 484,943 and 1,053,825 is: 2,290,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,943 : 1,053,825 = 1,053,825 : x
  2. Step 2: Convert to fraction form
    484,943/1,053,825 = 1,053,825/x
  3. Step 3: Cross multiply
    484,943x = 1,053,825 × 1,053,825
  4. Step 4: Simplify right side
    484,943x = 1,110,547,130,625
  5. Step 5: Solve for x
    x = 1,110,547,130,625/484,943
  6. Step 6: Final answer
    x = 2,290,057.04

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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.