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Finding the Third Proportional to 706,232 and 1,569,384

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Solution

The third proportional to 706,232 and 1,569,384 is: 3,487,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,232 : 1,569,384 = 1,569,384 : x
  2. Step 2: Convert to fraction form
    706,232/1,569,384 = 1,569,384/x
  3. Step 3: Cross multiply
    706,232x = 1,569,384 × 1,569,384
  4. Step 4: Simplify right side
    706,232x = 2,462,966,139,456
  5. Step 5: Solve for x
    x = 2,462,966,139,456/706,232
  6. Step 6: Final answer
    x = 3,487,474.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.