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Finding the Third Proportional to 478,236 and 1,049,352

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Solution

The third proportional to 478,236 and 1,049,352 is: 2,302,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,236 : 1,049,352 = 1,049,352 : x
  2. Step 2: Convert to fraction form
    478,236/1,049,352 = 1,049,352/x
  3. Step 3: Cross multiply
    478,236x = 1,049,352 × 1,049,352
  4. Step 4: Simplify right side
    478,236x = 1,101,139,619,904
  5. Step 5: Solve for x
    x = 1,101,139,619,904/478,236
  6. Step 6: Final answer
    x = 2,302,502.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.