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Finding the Third Proportional to 696,588 and 1,422,696

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Solution

The third proportional to 696,588 and 1,422,696 is: 2,905,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,588 : 1,422,696 = 1,422,696 : x
  2. Step 2: Convert to fraction form
    696,588/1,422,696 = 1,422,696/x
  3. Step 3: Cross multiply
    696,588x = 1,422,696 × 1,422,696
  4. Step 4: Simplify right side
    696,588x = 2,024,063,908,416
  5. Step 5: Solve for x
    x = 2,024,063,908,416/696,588
  6. Step 6: Final answer
    x = 2,905,683.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.