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Finding the Third Proportional to 1,926,805.50 and 4,461,909

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Solution

The third proportional to 1,926,805.50 and 4,461,909 is: 10,332,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,805.50 : 4,461,909 = 4,461,909 : x
  2. Step 2: Convert to fraction form
    1,926,805.50/4,461,909 = 4,461,909/x
  3. Step 3: Cross multiply
    1,926,805.50x = 4,461,909 × 4,461,909
  4. Step 4: Simplify right side
    1,926,805.50x = 19,908,631,924,281
  5. Step 5: Solve for x
    x = 19,908,631,924,281/1,926,805.50
  6. Step 6: Final answer
    x = 10,332,455.42

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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.