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Finding the Third Proportional to 1,799,088.47 and 4,247,017.31

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Solution

The third proportional to 1,799,088.47 and 4,247,017.31 is: 10,025,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799,088.47 : 4,247,017.31 = 4,247,017.31 : x
  2. Step 2: Convert to fraction form
    1,799,088.47/4,247,017.31 = 4,247,017.31/x
  3. Step 3: Cross multiply
    1,799,088.47x = 4,247,017.31 × 4,247,017.31
  4. Step 4: Simplify right side
    1,799,088.47x = 18,037,156,052,674.72
  5. Step 5: Solve for x
    x = 18,037,156,052,674.72/1,799,088.47
  6. Step 6: Final answer
    x = 10,025,719.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.