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Finding the Third Proportional to 478,301 and 1,049,904

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Solution

The third proportional to 478,301 and 1,049,904 is: 2,304,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,301 : 1,049,904 = 1,049,904 : x
  2. Step 2: Convert to fraction form
    478,301/1,049,904 = 1,049,904/x
  3. Step 3: Cross multiply
    478,301x = 1,049,904 × 1,049,904
  4. Step 4: Simplify right side
    478,301x = 1,102,298,409,216
  5. Step 5: Solve for x
    x = 1,102,298,409,216/478,301
  6. Step 6: Final answer
    x = 2,304,612.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.