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Finding the Third Proportional to 1,953,760.50 and 4,223,421

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Solution

The third proportional to 1,953,760.50 and 4,223,421 is: 9,129,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,760.50 : 4,223,421 = 4,223,421 : x
  2. Step 2: Convert to fraction form
    1,953,760.50/4,223,421 = 4,223,421/x
  3. Step 3: Cross multiply
    1,953,760.50x = 4,223,421 × 4,223,421
  4. Step 4: Simplify right side
    1,953,760.50x = 17,837,284,943,241
  5. Step 5: Solve for x
    x = 17,837,284,943,241/1,953,760.50
  6. Step 6: Final answer
    x = 9,129,719.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.