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Finding the Third Proportional to 1,894,443.19 and 4,152,156.19

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Solution

The third proportional to 1,894,443.19 and 4,152,156.19 is: 9,100,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,443.19 : 4,152,156.19 = 4,152,156.19 : x
  2. Step 2: Convert to fraction form
    1,894,443.19/4,152,156.19 = 4,152,156.19/x
  3. Step 3: Cross multiply
    1,894,443.19x = 4,152,156.19 × 4,152,156.19
  4. Step 4: Simplify right side
    1,894,443.19x = 17,240,401,005,394.54
  5. Step 5: Solve for x
    x = 17,240,401,005,394.54/1,894,443.19
  6. Step 6: Final answer
    x = 9,100,510.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.