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Finding the Third Proportional to 782,558 and 1,048,206

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Solution

The third proportional to 782,558 and 1,048,206 is: 1,404,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,558 : 1,048,206 = 1,048,206 : x
  2. Step 2: Convert to fraction form
    782,558/1,048,206 = 1,048,206/x
  3. Step 3: Cross multiply
    782,558x = 1,048,206 × 1,048,206
  4. Step 4: Simplify right side
    782,558x = 1,098,735,818,436
  5. Step 5: Solve for x
    x = 1,098,735,818,436/782,558
  6. Step 6: Final answer
    x = 1,404,031.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.