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Finding the Third Proportional to 709,156 and 1,064,232

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Solution

The third proportional to 709,156 and 1,064,232 is: 1,597,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,156 : 1,064,232 = 1,064,232 : x
  2. Step 2: Convert to fraction form
    709,156/1,064,232 = 1,064,232/x
  3. Step 3: Cross multiply
    709,156x = 1,064,232 × 1,064,232
  4. Step 4: Simplify right side
    709,156x = 1,132,589,749,824
  5. Step 5: Solve for x
    x = 1,132,589,749,824/709,156
  6. Step 6: Final answer
    x = 1,597,095.35

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Why These Related Problems?

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