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Finding the Third Proportional to 1,926,810 and 4,461,919

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Solution

The third proportional to 1,926,810 and 4,461,919 is: 10,332,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,810 : 4,461,919 = 4,461,919 : x
  2. Step 2: Convert to fraction form
    1,926,810/4,461,919 = 4,461,919/x
  3. Step 3: Cross multiply
    1,926,810x = 4,461,919 × 4,461,919
  4. Step 4: Simplify right side
    1,926,810x = 19,908,721,162,561
  5. Step 5: Solve for x
    x = 19,908,721,162,561/1,926,810
  6. Step 6: Final answer
    x = 10,332,477.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.