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Finding the Third Proportional to 1,926,947 and 4,197,070

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Solution

The third proportional to 1,926,947 and 4,197,070 is: 9,141,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,947 : 4,197,070 = 4,197,070 : x
  2. Step 2: Convert to fraction form
    1,926,947/4,197,070 = 4,197,070/x
  3. Step 3: Cross multiply
    1,926,947x = 4,197,070 × 4,197,070
  4. Step 4: Simplify right side
    1,926,947x = 17,615,396,584,900
  5. Step 5: Solve for x
    x = 17,615,396,584,900/1,926,947
  6. Step 6: Final answer
    x = 9,141,609.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.