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Finding the Third Proportional to 706,870 and 1,070,591

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Solution

The third proportional to 706,870 and 1,070,591 is: 1,621,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,870 : 1,070,591 = 1,070,591 : x
  2. Step 2: Convert to fraction form
    706,870/1,070,591 = 1,070,591/x
  3. Step 3: Cross multiply
    706,870x = 1,070,591 × 1,070,591
  4. Step 4: Simplify right side
    706,870x = 1,146,165,089,281
  5. Step 5: Solve for x
    x = 1,146,165,089,281/706,870
  6. Step 6: Final answer
    x = 1,621,465.18

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