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Finding the Third Proportional to 760,608 and 1,138,536

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Solution

The third proportional to 760,608 and 1,138,536 is: 1,704,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,608 : 1,138,536 = 1,138,536 : x
  2. Step 2: Convert to fraction form
    760,608/1,138,536 = 1,138,536/x
  3. Step 3: Cross multiply
    760,608x = 1,138,536 × 1,138,536
  4. Step 4: Simplify right side
    760,608x = 1,296,264,223,296
  5. Step 5: Solve for x
    x = 1,296,264,223,296/760,608
  6. Step 6: Final answer
    x = 1,704,247.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.