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Finding the Third Proportional to 768,580 and 1,148,635

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Solution

The third proportional to 768,580 and 1,148,635 is: 1,716,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,580 : 1,148,635 = 1,148,635 : x
  2. Step 2: Convert to fraction form
    768,580/1,148,635 = 1,148,635/x
  3. Step 3: Cross multiply
    768,580x = 1,148,635 × 1,148,635
  4. Step 4: Simplify right side
    768,580x = 1,319,362,363,225
  5. Step 5: Solve for x
    x = 1,319,362,363,225/768,580
  6. Step 6: Final answer
    x = 1,716,623.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.