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Finding the Third Proportional to 501,394 and 1,094,248

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Solution

The third proportional to 501,394 and 1,094,248 is: 2,388,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,394 : 1,094,248 = 1,094,248 : x
  2. Step 2: Convert to fraction form
    501,394/1,094,248 = 1,094,248/x
  3. Step 3: Cross multiply
    501,394x = 1,094,248 × 1,094,248
  4. Step 4: Simplify right side
    501,394x = 1,197,378,685,504
  5. Step 5: Solve for x
    x = 1,197,378,685,504/501,394
  6. Step 6: Final answer
    x = 2,388,099.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.