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Finding the Third Proportional to 706,214 and 1,569,347

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Solution

The third proportional to 706,214 and 1,569,347 is: 3,487,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,214 : 1,569,347 = 1,569,347 : x
  2. Step 2: Convert to fraction form
    706,214/1,569,347 = 1,569,347/x
  3. Step 3: Cross multiply
    706,214x = 1,569,347 × 1,569,347
  4. Step 4: Simplify right side
    706,214x = 2,462,850,006,409
  5. Step 5: Solve for x
    x = 2,462,850,006,409/706,214
  6. Step 6: Final answer
    x = 3,487,399.01

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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.