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Finding the Third Proportional to 706,947 and 1,070,717

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Solution

The third proportional to 706,947 and 1,070,717 is: 1,621,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,947 : 1,070,717 = 1,070,717 : x
  2. Step 2: Convert to fraction form
    706,947/1,070,717 = 1,070,717/x
  3. Step 3: Cross multiply
    706,947x = 1,070,717 × 1,070,717
  4. Step 4: Simplify right side
    706,947x = 1,146,434,894,089
  5. Step 5: Solve for x
    x = 1,146,434,894,089/706,947
  6. Step 6: Final answer
    x = 1,621,670.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.