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Finding the Third Proportional to 1,971,870 and 4,242,630

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Solution

The third proportional to 1,971,870 and 4,242,630 is: 9,128,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,870 : 4,242,630 = 4,242,630 : x
  2. Step 2: Convert to fraction form
    1,971,870/4,242,630 = 4,242,630/x
  3. Step 3: Cross multiply
    1,971,870x = 4,242,630 × 4,242,630
  4. Step 4: Simplify right side
    1,971,870x = 17,999,909,316,900
  5. Step 5: Solve for x
    x = 17,999,909,316,900/1,971,870
  6. Step 6: Final answer
    x = 9,128,344.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.